{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploratory Data Analysis of Book-Crossing Dataset\n",
    "\n",
    "[Book-Crossing dataset](http://www2.informatik.uni-freiburg.de/~cziegler/BX/) contains data about explicit and implicit book ratings. It consists of 3 tables: ratings, books and users. It provides detailed information about both books (title, author, year of publication) and users (location, age).\n",
    "\n",
    "There are 433,642 ratings of 186k books given by 78k users. Average number of ratings per book is 5.57 and average number of ratings given by one user is 2.33."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from pywaffle import Waffle\n",
    "\n",
    "import functions as f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_ratings = pd.read_csv('data/ratings_explicit.csv')\n",
    "df_books = pd.read_csv('data/books.csv')\n",
    "df_users = pd.read_csv('data/users.csv')\n",
    "df_ratings_implicit = pd.read_csv('data/ratings_implicit.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist_user = f.df_dist(df_ratings, 'user_id')\n",
    "dist_book = f.df_dist(df_ratings, 'isbn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of ratings: 433642\n",
      "Number of books: 185946\n",
      "Number of users: 77792\n"
     ]
    }
   ],
   "source": [
    "print('Number of ratings: %d\\nNumber of books: %d\\nNumber of users: %d' % (len(df_ratings),\n",
    "                                                                           len(df_ratings['isbn'].unique()),\n",
    "                                                                           len(df_ratings['user_id'].unique())))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average number of ratings per book: 5.57\n",
      "Average number of ratings per user: 2.33\n"
     ]
    }
   ],
   "source": [
    "print('Average number of ratings per book: %.2f\\nAverage number of ratings per user: %.2f' % (dist_user['count'].mean(),\n",
    "                                                                                              dist_book['count'].mean()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distribution of number of ratings per book and user\n",
    "\n",
    "Distributions of number of ratings per book and user are strongly right-skewed, showing that majority of books / users have / gave few ratings. At the same time there are some outliers with values very distant from the mean that are responsible for a long tail of the distribution.\n",
    "\n",
    "Both distributions have a median = 1 and mode = 1 which confirms that the dataset is full of records with only one rating."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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J0tAwwZEkSZI0NExwJEmSJA2NgRKcJEuTfDfJqiTH9Vm+bZKz2vKLkuzXyl+R5LKex4NJnjy9L0GSJEmSOhMmOEnmAx8AXgAcCLw8yYGjqh0N3FZVBwAnAe8DqKqPVdWTq+rJwO8B11XVZdP5AiRJkiRpxCBncA4GVlXVtVV1H3AmcMSoOkcAp7Xpc4DDk2RUnZcDn9iUYCVJkiRpPIMkOHsB1/fMr25lfetU1TrgDmCPUXVexhgJTpJjkqxMsnLNmjWDxC1JkiRJG1kwQJ3RZ2IAajJ1kjwduKeqruj3BFV1MnAywJIlS0a3PWnnfOnKvuVHHXbQpjYtSRIAh77mxCmt99VTN/opqyRpGg1yBmc1sE/P/N7ADWPVSbIA2AVY27N8GQ5PkyRJkrSZDZLgXAIsTrJ/koV0ycqKUXVWAMvb9FHAF6qqAJLMA15K99sdSZIkSdpsJhyiVlXrkrwBOA+YD5xaVVcmOQFYWVUrgFOAM5Ksojtzs6yniWcDq6vq2ukPX5IkSZLWG+Q3OFTVucC5o8re0TP9c7qzNP3W/RJwyNRDlCRJkqTBDHSjT0mSJEmaC0xwJEmSJA0NExxJkiRJQ8MER5IkSdLQMMGRJEmSNDRMcCRJkiQNDRMcSZIkSUPDBEeSNOOSnJrkliRX9JT9VZLvJLk8yaeT7Nqz7G1JViX5bpLn95QvbWWrkhzXU75/kouSfD/JWUkWtvJt2/yqtny/LfOKJUmbiwmOJGk2+AiwdFTZ+cATq+pJwPeAtwEkORBYBhzU1vmnJPOTzAc+ALwAOBB4easL8D7gpKpaDNwGHN3KjwZuq6oDgJNaPUnSHGaCI0macVX1FWDtqLLPV9W6NnshsHebPgI4s6ruraofAKuAg9tjVVVdW1X3AWcCRyQJ8BzgnLb+acCRPW2d1qbPAQ5v9SVJc5QJjiRpLngN8Lk2vRdwfc+y1a1srPI9gNt7kqWR8g3aasvvaPU3kOSYJCuTrFyzZs20vCBJ0uZhgiNJmtWSvB1YB3xspKhPtZpC+XhtbVhQdXJVLamqJYsWLZo4aEnSjFkw0wFIkjSWJMuBFwGHV9VI4rEa2Ken2t7ADW26X/mtwK5JFrSzNL31R9panWQBsAujhspJkuYWz+BIkmalJEuBtwIvqap7ehatAJa1K6DtDywGLgYuARa3K6YtpLsQwYqWGH0ROKqtvxz4TE9by9v0UcAXehIpSdIc5BkcSdKMS/IJ4DBgzySrgXfSXTVtW+D89rv/C6vq2Kq6MsnZwFV0Q9deX1UPtHbeAJwHzAdOraor21O8FTgzyXuAbwKntPJTgDOSrKI7c7Nss79YSdJmZYIjSZpxVfXyPsWn9Ckbqf9e4L19ys8Fzu1Tfi3dVdZGl/8ceOmkgpUkzWoOUZMkSZI0NExwJEmSJA0NExxJkiRJQ8MER5IkSdLQGCjBSbI0yXeTrEpyXJ/l2yY5qy2/KMl+PcuelOTrSa5M8u0k201f+JIkSZK03oQJTpL5wAeAFwAHAi9PcuCoakcDt1XVAcBJwPvauguAjwLHVtVBdJcAvX/aopckSZKkHoOcwTkYWFVV11bVfcCZwBGj6hwBnNamzwEOT3fTgucBl1fVtwCq6icj9yqQJEmSpOk2SIKzF3B9z/zqVta3TlWtA+4A9gAeB1SS85J8I8mfbnrIkiRJktTfIDf6TJ+yGrDOAuBZwC8B9wAXJLm0qi7YYOXkGOAYgH333XeAkCRJkiRpY4OcwVkN7NMzvzdww1h12u9udgHWtvIvV9WtVXUP3d2lnzr6Carq5KpaUlVLFi1aNPlXIUmSJEkMluBcAixOsn+ShcAyYMWoOiuA5W36KOALVVXAecCTkuzQEp9fAa6antAlSZIkaUMTDlGrqnVJ3kCXrMwHTq2qK5OcAKysqhXAKcAZSVbRnblZ1ta9Lcnf0iVJBZxbVf++mV6LJEmSpK3cIL/BoarOpRte1lv2jp7pnwMvHWPdj9JdKlqSJEmSNquBbvQpSZIkSXOBCY4kSZKkoWGCI0mSJGlomOBIkiRJGhomOJIkSZKGhgmOJEmSpKFhgiNJkiRpaJjgSJIkSRoaJjiSJEmShoYJjiRJkqShYYIjSZpxSU5NckuSK3rKdk9yfpLvt7+7tfIkeX+SVUkuT/LUnnWWt/rfT7K8p/xpSb7d1nl/koz3HJKkucsER5I0G3wEWDqq7DjggqpaDFzQ5gFeACxuj2OAD0KXrADvBJ4OHAy8sydh+WCrO7Le0gmeQ5I0R5ngSJJmXFV9BVg7qvgI4LQ2fRpwZE/56dW5ENg1ySOB5wPnV9XaqroNOB9Y2pbtXFVfr6oCTh/VVr/nkCTNUSY4kqTZ6hFVdSNA+/vwVr4XcH1PvdWtbLzy1X3Kx3uODSQ5JsnKJCvXrFmzSS9KkrR5meBIkuaa9CmrKZQPrKpOrqolVbVk0aJFk1lVkrSFmeBIkmarm9vwMtrfW1r5amCfnnp7AzdMUL53n/LxnkOSNEeZ4EiSZqsVwMiV0JYDn+kpf2W7mtohwB1teNl5wPOS7NYuLvA84Ly27K4kh7Srp71yVFv9nkOSNEctmOkAJElK8gngMGDPJKvproZ2InB2kqOBHwEvbdXPBV4IrALuAV4NUFVrk7wbuKTVO6GqRi5c8Fq6K7VtD3yuPRjnOSRJc5QJjiRpxlXVy8dYdHifugW8fox2TgVO7VO+Enhin/Kf9HsOSdLc5RA1SZIkSUPDBEeSJEnS0BgowUmyNMl3k6xKstFdnpNsm+SstvyiJPu18v2S/CzJZe3xoekNX5IkSZLWm/A3OEnmAx8Afo3uUpuXJFlRVVf1VDsauK2qDkiyDHgf8LK27JqqevI0xy1JkiRJGxnkDM7BwKqquraq7gPOBI4YVecI4LQ2fQ5weLsUpyRJkiRtMYMkOHsB1/fMr25lfetU1TrgDmCPtmz/JN9M8uUkh/Z7giTHJFmZZOWaNWsm9QIkSZIkacQgCU6/MzE1YJ0bgX2r6inAm4GPJ9l5o4pVJ1fVkqpasmjRogFCkiRJkqSNDZLgrAb26ZnfG7hhrDpJFgC7AGur6t52jwGq6lLgGuBxmxq0JEmSJPUzSIJzCbA4yf5JFgLLgBWj6qwAlrfpo4AvVFUlWdQuUkCSxwCLgWunJ3RJkiRJ2tCEV1GrqnVJ3gCcB8wHTq2qK5OcAKysqhXAKcAZSVYBa+mSIIBnAyckWQc8ABxbVWs3xwuRJEmSpAkTHICqOhc4d1TZO3qmfw68tM96nwQ+uYkxSpIkSdJABrrRpyRJkiTNBSY4kiRJkoaGCY4kSZKkoWGCI0mSJGlomOBIkiRJGhomOJIkSZKGhgmOJEmSpKFhgiNJkiRpaJjgSJIkSRoaJjiSJEmShoYJjiRJkqShYYIjSZIkaWiY4EiSZrUkf5zkyiRXJPlEku2S7J/koiTfT3JWkoWt7rZtflVbvl9PO29r5d9N8vye8qWtbFWS47b8K5QkTScTHEnSrJVkL+CNwJKqeiIwH1gGvA84qaoWA7cBR7dVjgZuq6oDgJNaPZIc2NY7CFgK/FOS+UnmAx8AXgAcCLy81ZUkzVEmOJKk2W4BsH2SBcAOwI3Ac4Bz2vLTgCPb9BFtnrb88CRp5WdW1b1V9QNgFXBwe6yqqmur6j7gzFZXkjRHmeBIkmatqvox8NfAj+gSmzuAS4Hbq2pdq7Ya2KtN7wVc39Zd1+rv0Vs+ap2xyjeQ5JgkK5OsXLNmzfS8OEnSZmGCI0matZLsRndGZX/gUcCOdMPJRquRVcZYNtnyDQuqTq6qJVW1ZNGiRYOELkmaISY4kqTZ7LnAD6pqTVXdD3wK+GVg1zZkDWBv4IY2vRrYB6At3wVY21s+ap2xyiVJc5QJjiRpNvsRcEiSHdpvaQ4HrgK+CBzV6iwHPtOmV7R52vIvVFW18mXtKmv7A4uBi4FLgMXtqmwL6S5EsGILvC5J0mayYOIqkiTNjKq6KMk5wDeAdcA3gZOBfwfOTPKeVnZKW+UU4Iwkq+jO3Cxr7VyZ5Gy65Ggd8PqqegAgyRuA8+iu0HZqVV25pV6fJGn6meBIkma1qnon8M5RxdfSXQFtdN2fAy8do533Au/tU34ucO6mRypJmg0GGqI20U3QxruxWlu+b5K7k7xlesKWJEmSpI1NmOAMeBO0vjdW63ES8LlND1eSJEmSxjbIGZxBboI21o3VSHIk3VACxzRL0pBLcsEgZZIkbS6DJDiD3ASt743VkuwIvBV413hP4A3UJGluS7Jdkt2BPZPslmT39tiP7v41kiRtEYNcZGCQm6CNVeddwElVdXc7odNXVZ1Md1UclixZstEN1iRJs94fAG+iS2YuZf1+4U66Yc6SJG0RgyQ4g9wEbaTO6lE3Vns6cFSSvwR2BR5M8vOq+sdNjlySNGtU1d8Df5/kD6vqH2Y6HknS1muQBOehm6ABP6a7p8DvjKozcmO1r7PhjdUOHamQ5HjgbpMbSRpeVfUPSX4Z2I+efUxVnT5jQUmStioTJjhVta7fTdCSnACsrKoVjHFjNUnS1iXJGcBjgcuAB1pxASY4kqQtYqAbffa7CVpVvaNneswbq/XUOX4K8UmS5pYlwIHtLL4kSVvcQDf6lCRpQFcAvzDTQUiStl4DncGRJGlAewJXJbkYuHeksKpeMnMhSZK2JiY4kqTpdPxMByBJ2rqZ4EiSpk1VfXmmY5Akbd1McCRJ0ybJXay/GfRCYBvgp1W188xFJUnampjgSJKmTVXt1Duf5Ejg4BkKR5K0FfIqapKkzaaq/hV4zkzHIUnaengGR5I0bZL8Zs/sPLr74nhPHEnSFmOCI0maTi/umV4HXAccMTOhSJK2RiY4kqRpU1WvnukYJElbN3+DI0maNkn2TvLpJLckuTnJJ5PsPdNxSZK2HiY4kqTp9C/ACuBRwF7AZ1uZJElbhAmOJGk6Laqqf6mqde3xEWDRTAclSdp6mOBIkqbTrUl+N8n89vhd4CczHZQkaethgiNJmk6vAX4buAm4ETgK2KQLDyTZNck5Sb6T5Ookz0iye5Lzk3y//d2t1U2S9ydZleTyJE/taWd5q//9JMt7yp+W5NttnfcnyabEK0maWSY4kqTp9G5geVUtqqqH0yU8x29im38P/EdV/Q/gF4GrgeOAC6pqMXBBmwd4AbC4PY4BPgiQZHfgncDTgYOBd44kRa3OMT3rLd3EeCVJM8gER5I0nZ5UVbeNzFTVWuApU20syc7As4FTWnv3VdXtdPfWOa1VOw04sk0fAZxenQuBXZM8Eng+cH5VrW3xnQ8sbct2rqqvV1UBp/e0JUmag0xwJEnTaV7PmZGRMyebcs+1xwBrgH9J8s0kH06yI/CIqroRoP19eKu/F3B9z/qrW9l45av7lG8gyTFJViZZuWbNmk14OZKkzc0ER5I0nf4G+FqSdyc5Afga8Jeb0N4C4KnAB6vqKcBPWT8crZ9+v5+pKZRvWFB1clUtqaolixZ5UThJms1McCRJ06aqTgd+C7iZ7szLb1bVGZvQ5GpgdVVd1ObPoUt4bm7Dy2h/b+mpv0/P+nsDN0xQvnefcknSHGWCI0maVlV1VVX9Y1X9Q1VdtYlt3QRcn+Txrehw4Cq6m4mOXAltOfCZNr0CeGW7mtohwB1tCNt5wPOS7NaG0D0POK8tuyvJIe3qaa/saUuSNAcNNC46yVK6q9jMBz5cVSeOWr4t3Q8zn0Z3v4OXVdV1SQ4GTh6pBhxfVZ+eruAlSVuFPwQ+lmQhcC3dZafnAWcnORr4EfDSVvdc4IXAKuCeVpeqWpvk3cAlrd4J7QIIAK8FPgJsD3yuPSRJc9SECU6S+cAHgF+jO5V/SZIVo47KHQ3cVlUHJFkGvA94GXAFsKSq1rUhBN9K8tmqWjftr0SSNJSq6jJgSZ9Fh/epW8Drx2jnVODUPuUrgSduYpiSpFlikCFqBwOrquraqroPOJPuMpy9ei/XeQ5weJJU1T09ycx29PnhpiRJkiRNl0ESnLEurdm3Tkto7gD2AEjy9CRXAt8Gju139sbLb0qSJEmaDoMkOINcQnPMOlV1UVUdBPwS8LYk221U0ctvSpIkSZoGgyQ4Y11as2+dJAuAXYC1vRWq6mq6+2fnfpwAABhCSURBVBc4zlmSJEnSZjFIgnMJsDjJ/u0KNsvoLsPZq/dynUcBX6iqaussAEjyaODxwHXTErkkSZIkjTLhVdTaFdDeQHcPgfnAqVV1ZbtD9cqqWgGcApyRZBXdmZtlbfVnAccluR94EHhdVd26OV6IJEmSJA10H5yqOpfu3gK9Ze/omf456+9B0FvnDGBT7mAtSZIkSQMbZIiaJEmSJM0JJjiSJEmShoYJjiRJkqShYYIjSZIkaWiY4EiSJEkaGiY4kiRJkoaGCY4kSZKkoWGCI0mSJGlomOBIkiRJGhomOJIkSZKGhgmOJEmSpKFhgiNJkiRpaJjgSJIkSRoaJjiSJEmShoYJjiRJkqShYYIjSZIkaWiY4EiSZr0k85N8M8m/tfn9k1yU5PtJzkqysJVv2+ZXteX79bTxtlb+3STP7ylf2spWJTluS782SdL0MsGRJM0FfwRc3TP/PuCkqloM3AYc3cqPBm6rqgOAk1o9khwILAMOApYC/9SSpvnAB4AXAAcCL291JUlzlAmOJGlWS7I38OvAh9t8gOcA57QqpwFHtukj2jxt+eGt/hHAmVV1b1X9AFgFHNweq6rq2qq6Dziz1ZUkzVEmOJKk2e7vgD8FHmzzewC3V9W6Nr8a2KtN7wVcD9CW39HqP1Q+ap2xyjeQ5JgkK5OsXLNmzXS8JknSZjJQgjPR+OSxxjwn+bUklyb5dvv7nOkNX5I0zJK8CLilqi7tLe5TtSZYNtnyDQuqTq6qJVW1ZNGiRRNELUmaSQsmqtAzPvnX6I5sXZJkRVVd1VPtoTHPSZbRjXl+GXAr8OKquiHJE4Hz6HNkTJKkMTwTeEmSFwLbATvTndHZNcmCdpZmb+CGVn81sA+wOskCYBdgbU/5iN51xiqXJM1Bg5zBGWR8ct8xz1X1zaoa2VFcCWyXZNvpCFySNPyq6m1VtXdV7Ud3kYAvVNUrgC8CR7Vqy4HPtOkVbZ62/AtVVa18WRtxsD+wGLgYuARY3K7KtrA9x4ot8NIkSZvJIAnOIOOTxxrz3Ou3gG9W1b2jn8CxzZKkSXor8OYkq+j2N6e08lOAPVr5m4HjAKrqSuBs4CrgP4DXV9UDbZ/1BroRBlcDZ7e6kqQ5asIhagw2PnncOkkOohu29rx+T1BVJwMnAyxZsmSjsc+SJFXVl4Avtelr6UYYjK7zc+ClY6z/XuC9fcrPBc6dxlAlSTNokDM4441b3qjOqDHPI5f3/DTwyqq6ZlMDliRJkqSxDJLgDDI+ue+Y5yS7Av8OvK2q/nu6gpYkSZKkfiZMcMYan5zkhCQvadX6jnlu6x0A/HmSy9rj4dP+KiRJkiSJwX6D03d8clW9o2e675jnqnoP8J5NjFGSJEmSBjLQjT4lSZIkaS4wwZEkSZI0NExwJEmSJA0NExxJkiRJQ8MER5IkSdLQMMGRJEmSNDRMcCRJkiQNDRMcSZIkSUPDBEeSJEnS0DDBkSRJkjQ0THAkSZIkDQ0THEmSJElDY8FMByBJ0tbs0NecOKX1vnrqcdMciSQNB8/gSJIkSRoaJjiSJEmShoYJjiRJkqShYYIjSZIkaWiY4EiSJEkaGiY4kiRJkoaGCY4kadZKsk+SLya5OsmVSf6ole+e5Pwk329/d2vlSfL+JKuSXJ7kqT1tLW/1v59keU/505J8u63z/iTZ8q9UkjRdTHAkSbPZOuBPquoJwCHA65McCBwHXFBVi4EL2jzAC4DF7XEM8EHoEiLgncDTgYOBd44kRa3OMT3rLd0Cr0uStJkMlOAkWZrku+3o1kZ3FkuybZKz2vKLkuzXyvdoR97uTvKP0xu6JGnYVdWNVfWNNn0XcDWwF3AEcFqrdhpwZJs+Aji9OhcCuyZ5JPB84PyqWltVtwHnA0vbsp2r6utVVcDpPW1JkuagCROcJPOBD9AdFTsQeHk7etbraOC2qjoAOAl4Xyv/OfDnwFumLWJJ0lapHTx7CnAR8IiquhG6JAh4eKu2F3B9z2qrW9l45av7lI9+7mOSrEyycs2aNdPxciRJm8kgZ3AOBlZV1bVVdR9wJt0Rsl69R9LOAQ5Pkqr6aVX9F12iI0nSlCR5GPBJ4E1Vded4VfuU1RTKNyyoOrmqllTVkkWLFg0SsiRphgyS4Ix11KtvnapaB9wB7DFoEB4ZkySNJck2dMnNx6rqU6345ja8jPb3lla+GtinZ/W9gRsmKN+7T7kkaY4aJMEZ5OjWQEfAxuKRMUlSP+2KZqcAV1fV3/YsWgGMXAltOfCZnvJXtqupHQLc0YawnQc8L8lu7eICzwPOa8vuSnJIe65X9rQlSZqDFgxQZ6yjXv3qrE6yANgFWDstEUqStmbPBH4P+HaSy1rZ/wFOBM5OcjTwI+Clbdm5wAuBVcA9wKsBqmptkncDl7R6J1TVyH7qtcBHgO2Bz7WHJGmOGiTBuQRYnGR/4MfAMuB3RtUZOZL2deAo4AvtajSSJE1Z+x3nWPelObxP/QJeP0ZbpwKn9ilfCTxxE8KUJM0iEyY4VbUuyRvoTu/PB06tqiuTnACsrKoVdMMHzkiyiu7MzbKR9ZNcB+wMLExyJPC8qrpq+l+KJEmSpK3dIGdwqKpz6U7795a9o2f656wfHjB63f02IT5JkiRJGthAN/qUJEmSpLnABEeSJEnS0DDBkSRJkjQ0THAkSZIkDQ0THEmSJElDwwRHkiRJ0tAwwZEkSZI0NExwJEmSJA2NgW70KUmSZrdDX3PilNb76qnHTXMkkjSzPIMjSZIkaWiY4EiSJEkaGiY4kiRJkoaGCY4kSZKkoWGCI0mSJGlomOBIkiRJGhpeJlqSJAFTv9Q0eLlpSbOHZ3AkSZIkDQ0THEmSJElDY6tIcG5eezcPPPDgTIchSZIkaTMb+t/gXHXdLXzqK1ex847bknnhyGc9gYXbzJ/psCRJGlpT/S2Pv+ORNB2GOsG57/4HOH/lNey5yw5st3AB//eML3Pyiks46rCDOOqwg9hzlx1nOkRJkjQGEyVJUzFQgpNkKfD3wHzgw1V14qjl2wKnA08DfgK8rKqua8veBhwNPAC8sarOm7boJ/DfV/yQu+65l99c+hT2XrQz+z5iF874/Lf40Gcu4cP/dinP+6UDePlzn8T/fMwjtlRIkqRZaKL9nOY2EyVp6zJhgpNkPvAB4NeA1cAlSVZU1VU91Y4GbquqA5IsA94HvCzJgcAy4CDgUcB/JnlcVT0w3S8Eut/arPjv77D2zp+x/bYLuPDK63ni/g9nn4fvAsD1t9zJYU/enyc95hFc8p0f85+XXsO5F36PfR+xC4/Y7WHsvvP27L7zDuy+0/bsttN2bLvNArZduIBtt5nfTW8znwXz57FgwXzmzwvz583r5ufPY/78bn7+vHksWDCPBfPC/PnzWllIwgMPPsh99z/AugceZMH8ecybF+alW2/evGyOt0TSHFJVVLFBf1BV3L9ufZ8BcP+6B/jZvfezzYL5bLdwAVVw5z33cvtdP2O7bRew+047OBR3Egbcz2krN12X0DbZkja/Qc7gHAysqqprAZKcCRwB9Hb8RwDHt+lzgH9MklZ+ZlXdC/wgyarW3tenJ/wNXf3DNXzg0xc9NL/Ngnkc/rTHblRv95134PkHL+awp+zP5dfcxA9vup2b1t7NNT9ey09/fh/33j/9+df8eeGBB2vM5QldopOQ9r9NterF2OsNIkwuecokqmcylTWjtqaPqqbwlalxVhq0vd73uN93o/e7XVU82BKaBx/spkfMS9hmwTyq4L516/ujbRZ014W5f92DG9SdNy+sG3UhlYdtv5DP/81ydthu4WDBb90G2c9Js8p0JUqzqZ3ZFMtsa8fEeHIy3k4dIMlRwNKq+v02/3vA06vqDT11rmh1Vrf5a4Cn0yU9F1bVR1v5KcDnquqcUc9xDHBMm3088N1NeE17ArduwvozZS7GPRdjBuPe0uZi3HMxZpjeuB9dVYumqa1ZbcD93GT3U9P1WQxjO7MpltnWzmyKZba1M5timW3tzKZYtnQ7ffdVg5zB6Xfcd3RWNFadQdalqk4GTh4glgklWVlVS6ajrS1pLsY9F2MG497S5mLcczFmmLtxzwIT7qsmu5+ars9iGNuZTbHMtnZmUyyzrZ3ZFMtsa2c2xTJb2hnkPjirgX165vcGbhirTpIFwC7A2gHXlSRpJrmvkqQhMkiCcwmwOMn+SRbSXTRgxag6K4Dlbfoo4AvVjX1bASxLsm2S/YHFwMXTE7okSdNikP2cJGmOmHCIWlWtS/IG4Dy6y2eeWlVXJjkBWFlVK4BTgDPaRQTW0u0caPXOpvuh5jrg9ZvrCmo9pmWo2wyYi3HPxZjBuLe0uRj3XIwZ5m7cM2qs/dwmNjtdn8UwtjObYplt7cymWGZbO7MpltnWzmyKZVa0M+FFBiRJkiRprhhkiJokSZIkzQkmOJIkSZKGxlAlOEmWJvluklVJZs2djZKcmuSWdr+gkbLdk5yf5Pvt726tPEne317D5UmeOoNx75Pki0muTnJlkj+aC7En2S7JxUm+1eJ+VyvfP8lFLe6z2o+JaRfBOKvFfVGS/WYi7hbL/CTfTPJvcyjm65J8O8llSVa2slm9jbRYdk1yTpLvtG38GbM57iSPb+/xyOPOJG+azTFvjfr191Nsp2//O8k2+vaFmxDTBv3TFNvYqL+YYjsbfX8nuX7f79MUY/nj9v5ekeQTSbabYjt/1Nq4cjKx9NvmxuoXptDOS1s8DyaZ8HK9Y7TxV+1zujzJp5PsOsV23t3auCzJ55M8airt9Cx7S5JKsucU4zk+yY97tqEXTiWWJH+Y7n/XK5P85RRjOasnjuuSXDbFdp6c5MKR72eSg6fYzi8m+Xr7rn82yc4TtDGp/zcHUlVD8aD7Yeg1wGOAhcC3gANnOq4W27OBpwJX9JT9JXBcmz4OeF+bfiHwObr7MhwCXDSDcT8SeGqb3gn4HnDgbI+9Pf/D2vQ2wEUtnrOBZa38Q8Br2/TrgA+16WXAWTP4nr8Z+Djwb21+LsR8HbDnqLJZvY20WE4Dfr9NLwR2nQtxt3jmAzcBj54rMW8tj379/RTb6dv/TrKNvn3hJsS0Qf80xTY26i+m2M5G399NaOuh79MU1t0L+AGwfZs/G3jVFNp5InAFsAPdBaD+E1g81W1urH5hCu08ge7Gtl8ClkyxjecBC9r0+zYhlp17pt9I2wdOtp1Wvg/dRUV+OMj2OEY8xwNvmcRn3K+NX22f9bZt/uFTfU09y/8GeMcU4/k88II2/ULgS1Ns5xLgV9r0a4B3T9DGpP7fHOQxTGdwDgZWVdW1VXUfcCZwxAzHBEBVfYXu6nK9jqDroGl/j+wpP706FwK7Jnnklol0Q1V1Y1V9o03fBVxN15nP6tjb89/dZrdpjwKeA5zTykfHPfJ6zgEOT9Lvxn+bVZK9gV8HPtzmwyyPeRyzehtpR5OeTXcFSKrqvqq6nVked4/DgWuq6ofMnZi3CmP091NpZ6z+dzJtjNUXTtro/mkmjfP9nare79NULAC2T3cfwB2Y2j2UngBcWFX3VNU64MvAbwyy4iT/x5hUO1V1dVV9d5A4xmnj8+01AVxId5+pqbRzZ8/sjgywLY/zfTwJ+NNB2pignYGN0cZrgROr6t5W55ZNiaX9H/DbwCem2E4BI2dbdmGAbXmMdh4PfKVNnw/81gRtTPb/zQkNU4KzF3B9z/xqJrkz2MIeUVU3QvfBAg9v5bPydaQbAvUUuiOAsz72dEMpLgNuoftyXQPc3tPJ9sb2UNxt+R3AHls2YgD+jq7DfbDN78Hsjxm6DvHzSS5Nckwrm+3byGOANcC/pBty8+EkOzL74x6xjPU7sLkSs6ZoVP872XU36AuratJtNKP7p6nq119M1ljf36nq/T5NSlX9GPhr4EfAjcAdVfX5KTR1BfDsJHsk2YHu6Pk+E6wznrH6hZn2Grozy1OS5L1JrgdeAbxjim28BPhxVX1rqnH0eEMbNnfqpIZPrfc44NB0Q82/nOSXNjGeQ4Gbq+r7U1z/TcBftff4r4G3TbGdK4CXtOmXMoltecD/Nyc0TAlOv6PXc/Ea2LPudSR5GPBJ4E2jjqBsVLVP2YzEXlUPVNWT6Y4UHUx3dGyjau3vjMed5EXALVV1aW9xn6qzJuYez6yqpwIvAF6f5Nnj1J0tcS+gO6X+wap6CvBTutPfY5ktcZPud1gvAf7fRFX7lM3FPnGrNon+t6/RfWGSJ04hhn7901RNpr8Yy2S/v2OaxPdprPV3ozvKvD/wKGDHJL872Xaq6mq64VvnA/9BN8x+3bgrzTFJ3k73mj421Taq6u1VtU9r4w1TiGEH4O1MMTka5YPAY4En0yW3fzOFNhYAu9ENI/7fwNmbOBrj5UwxWW9eC/xxe4//mHaWdApeQ/f9vpRuyNl9g6y0qf1dr2FKcFazYYa4N1M7Tbyl3DwyXKT9HTktOateR5Jt6Da2j1XVp1rxnIgdoA1b+BJd57FrG0IAG8b2UNxt+S5MwxCTSXom8JIk19ENr3wO3RHT2RwzAFV1Q/t7C/BpuoRytm8jq4HVPUezz6H7h2m2xw3dP4bfqKqb2/xciFlTMEb/OyU9feHSKay+Uf+U5KNTjKNffzFZY31/p2L092myngv8oKrWVNX9wKeAX55KQ1V1SlU9taqeTdefT/UoPIzdL8yIJMuBFwGvqKrpONDycSYY9jSGx9Ilo99q2/PewDeS/MJkG6qqm9sBhAeBf2bq2/Kn2nDSi+nOkE540YN+2v8CvwmcNZX1m+V02zB0Sf9UXhNV9Z2qel5VPY0u4bpmonUm+f/mhIYpwbkEWJzuqlML6U45r5jhmMazgm5Dov39TE/5K9M5hO50940zEWA7inAKcHVV/W3Polkde5JFaVdpSbI93Q7oauCLwFGt2ui4R17PUcAXpqkDHlhVva2q9q6q/ei23S9U1SuYxTEDJNkxyU4j03Q/Jr2CWb6NVNVNwPVJHt+KDgeuYpbH3Yw+QjcXYtYkjdP/TqaNfn3hdybbzhj906TPUozTX0w2nrG+v1OxqUe8fwQckmSH9pkdTre/mbQkD29/96X7R3VT4hqrX9jikiwF3gq8pKru2YR2FvfMvoSpbcvfrqqHV9V+bXteTffj9pumEE/vbxp/gylsy8C/0h3QJMnj6C6YcesU2oH2/a6q1VNcH7qDYL/Spp/DFJPsnm15HvBndBdJGq/+ZP/fnFgNeDWCufCgG7P6PbpM8e0zHU9PXJ+gO315P92X6Wi630tcQLfxXADs3uoG+EB7Dd9mgKuWbMa4n0U3pOVy4LL2eOFsjx14EvDNFvcVtKuJ0I3bvhhYRXdkYuSqJdu1+VVt+WNmeHs5jPVXUZvVMbf4vtUeV45872b7NtJieTKwsm0n/0o3TGBWx033A+afALv0lM3qmLe2R7/+fort9O1/J9lG375wE1/fQ/3TFNbt219Msa2Nvr9TaGOj79MUY3kX3T/bVwBnjPTTU2jnq3SJ2reAwzdlmxurX5hCO7/Rpu8FbgbOm0Ibq+h+DziyHQ9y9bN+7XyyvceXA58F9ppKO6OWX8dgV1HrF88ZrW+9nO4f8UdOoY2FwEfb6/oG8JypvibgI8Cxm7jdPAu4tG2DFwFPm2I7f0T3//j3gBOBTNDGpP7fHOSR1rAkSZIkzXnDNERNkiRJ0lbOBEeSJEnS0DDBkSRJkjQ0THAkSZIkDQ0THEmSJElDwwRHmkFJ3tTurCxJ0qzjfkpzkZeJlmZQu5Pykqqa6o29JEnabNxPaS7yDI40gSSvTHJ5km8lOSPJo5Nc0MouaHedJslHkhzVs97d7e9hSb6U5Jwk30nysXZ3+TcCjwK+mOSLM/PqJElznfspaUMLZjoAaTZLchDwduCZVXVrkt2B04DTq+q0JK8B3g8cOUFTTwEOAm4A/ru19/4kbwZ+1SNjkqSpcD8lbcwzONL4ngOcM9KxV9Va4BnAx9vyM4BnDdDOxVW1uqoeBC4D9tsMsUqStj7up6RRTHCk8QWY6IdqI8vX0b5TSQIs7Klzb8/0A3j2VJI0PdxPSaOY4EjjuwD47SR7ALRT/18DlrXlrwD+q01fBzytTR8BbDNA+3cBO01XsJKkrY77KWkUs3NpHFV1ZZL3Al9O8gDwTeCNwKlJ/jewBnh1q/7PwGeSXEy3w/npAE9xMvC5JDdW1a9O/yuQJA0z91PSxrxMtCRJkqSh4RA1SZIkSUPDBEeSJEnS0DDBkSRJkjQ0THAkSZIkDQ0THEmSJElDwwRHkiRJ0tAwwZEkSZI0NP5/w362S42gHqsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f.draw_distribution(dist_book, 'book')\n",
    "f.draw_distribution(dist_user, 'user')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distribution of book ratings\n",
    "\n",
    "The majority of ratings is positive - 95% of all ratings is between 5 and 10. Most often users tend to rate books for 8. Second the most frequent score is 10."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "palette = sns.color_palette(\"RdBu\", 10)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "sns.countplot(x='book_rating', data=df_ratings, palette=palette)\n",
    "ax.set_title('Distribution of book ratings')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Book ratings by year of publication\n",
    "\n",
    "The majority of books in the dataset was published starting from 1950 (the older books vere filtered out in visualization). Since the collection of data took place in 2004, this is the last year of publication (there were several records with \"newer\" books but they were skipped).\n",
    "\n",
    "The visualization shows that the books with the biggest number of ratings are the most recent ones (reaching two years back). Books from last two years are already popular but they still need time to gather more ratings.\n",
    "\n",
    "There is no visible relationship between year of publication and average rating. The average book ratings for further years differ more (it's due to limited number of ratings - the more ratings, the more \"smoothed\" the average rating is)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_ratings_b = df_ratings.merge(df_books, on='isbn', how='left')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_books_year = f.books_groupby(df_ratings_b, 'year_of_publication', 'year')\n",
    "df_books_year = df_books_year[df_books_year['year'].between(1950,2004)]\n",
    "df_books_year['year'] = df_books_year['year'].astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "palette = sns.color_palette(\"RdBu\", len(df_books_year['year'].unique()))\n",
    "\n",
    "gridsize = (3, 1)\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "ax1 = plt.subplot2grid(gridsize, (0, 0), colspan=1, rowspan=1)\n",
    "ax2 = plt.subplot2grid(gridsize, (1, 0), colspan=1, rowspan=2)\n",
    "\n",
    "sns.lineplot(x='year', y='avg_rating', data=df_books_year, palette=palette, ax=ax1)\n",
    "ax1.set_title('Average rating by year of publication')\n",
    "ax1.set_ylim([0,10])\n",
    "\n",
    "sns.barplot(x='year', y='count', data=df_books_year, palette=palette, ax=ax2)\n",
    "ax2.set_title('Number of book ratings by year of publication')\n",
    "\n",
    "plt.xticks(rotation=90)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Top books and authors\n",
    "\n",
    "Books with the highest number of ratings are also positively rated - all except one have the average rating between 7-10. Among books with the highest ratings (and at least 50 votes) there are both top popular books and those with moderate number of ratings. Among top-rated books there are highly recognizable works of J.K. Rowling and J.R.R. Tolkien.\n",
    "\n",
    "Similarly to books, the most popular authors are also the ones with very good scores. The author with the highest number of votes is Stephen King. Both he and Nora Roberts own their popularity to the big number of works - they are in the top 10 of authors with the highest number of books (in the dataset)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_books_title = f.books_groupby(df_ratings_b, 'book_title', 'title')\n",
    "df_books_title['title_short'] = df_books_title['title'].apply(f.short_title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "titles_top_popular = df_books_title.sort_values('count', ascending=False).head(20)\n",
    "f.draw_top_chart(titles_top_popular, 'title_short', ['avg_rating', 'count'], 'Average rating and number of ratings of the most popular books')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "titles_top_rated = df_books_title.sort_values('avg_rating', ascending=False)\n",
    "titles_top_rated = titles_top_rated[titles_top_rated['count']>=50].head(20)\n",
    "\n",
    "f.draw_top_chart(titles_top_rated, 'title_short', ['count', 'avg_rating'], 'Average rating and number of ratings of top rated books')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_books_author = f.books_groupby(df_ratings_b, 'book_author', 'author')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "authors_top_popular = df_books_author.sort_values('count', ascending=False).head(20)\n",
    "f.draw_top_chart(authors_top_popular, 'author', ['avg_rating', 'count'], 'Average rating and number of ratings of the most popular authors')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VvWfHA38z3DnKyX7bZOb15f75wNHAf23RYCVJkiTp6a6IiB2AtcC7M/ORiHgnQGZ+BbiaYi7cncAq4LRGBlPVnLfDgAcys77bca+I+C3wGPDPmfkzisl+y+raNHQC4HjR19dHd3c3PT09dHR00NnZSUuLa8tIkiRJYykzDxuk7Ct1jxN491jFU1XydiIbdjkuB/bMzIci4gXAwojYn42cAFiuDnM6QHt7+xYMd/P80+7PG3Xb3Z9/IAd94O2ceNqpdHV1UavVuOhb53Hz577Gst8uGfV5PrHsd5sSqiRJkqRxasy7cyKijWK86CX9ZZnZk5kPlY9/A/wZ2Jeip233usOHnQCYmedk5pzMnNPW1pwLab7gnSevT9wAurq6OPG0U3nBO0+uODJJkiRJVapiLN4RwB8yc/1wyIjYKSJay8d7UyxMclc52W9lRMwt58mdAiyqIOYx0z5zm/WJW7+uri7aZ25TUUSSJEmSxoNG3irgIuB64FkRsSwi3lpWncDTV2l5GfD7iPgdcDnwzsx8uKx7F/B1ikmAf2YrX6xkzYrHqNVqG5TVajXWrHisoogkSZIkjQeNXG3yxCHK3zJI2RUUtw4YrP2NwAFbNLhx7DdfuYCLvnXe0+a8/eZzX6s6NEmSJEkVas6JYVuxZb9dAp/7Gpf+51dpn7kNa1Y8xm82crESSZIkSVsfk7dxaNlvl7DsHR+qOgxJkiRJ44g3D5MkSZKkJmDyJkmSJElNwORNkiRJkpqAyZskSZIkNQGTN0mSJElqAiZvkiRJktQETN4kSZIkqQmYvEmSJElSEzB5kyRJkqQmYPImSZIkSU3A5E2SJEmSmoDJmyRJkiQ1AZM3SZIkSWoCJm+SJEmS1ARM3iRJkiSpCZi8SZIkSVITMHmTJEmSpCZg8iZJkiRJTcDkTZIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJmLxJkiRJUhMweZMkSZKkJmDyJkmSJElNwORNkiRJkpqAyZskSZIkNQGTN0mSJElqAiZvkiRJktQETN4kSZIkqQmYvEmSJElSEzB5kyRJkqQm0LDkLSK+GRHdEXFLXdlZEXFvRNxcbkfW1X0kIu6MiDsi4lV15a8uy+6MiA83Kl5JkiRJGs8a2fN2LvDqQco/n5kHldvVABGxH3ACsH95zJciojUiWoH/BF4D7AecWLaVJEmSpAmlrVEnzsyfRsSsUTafD1ycmT3A3RFxJ/Cisu7OzLwLICIuLtvetoXDlSRJkqRxrYo5b++JiN+Xwyq3K8t2A+6pa7OsLBuqXJIkSZImlLFO3r4MPBM4CFgOfLYsj0Ha5jDlg4qI0yPixoi4sbe3d3NjlSRJkjSBRcQZEXFrRNwSERdFxOQB9XtGxE8i4rdlB9WRQ51rSxjT5C0zH8jMdZnZB3yNp4ZGLgP2qGu6O3DfMOVDnf+czJyTmXPa2ho2IlSSJEnSVi4idgPeC8zJzAOAVop1Our9M3BpZj6/rPtSI2Ma0wwnInbJzOXl7jFA/0qUVwEXRsTngF2B2cCvKXreZkfEXsC9FC/ISWMZsyRJkprXKz584Zhf8yef9OfqVqQNmBIRa4GpPL0jKYFtysczB6nf4sE0RERcBMwDdoyIZcCZwLyIOIjiSf4FeAdAZt4aEZdSLETSC7w7M9eV53kP8H2KTPebmXlro2KWJEmSJIDMvDciPgMsBZ4ErsnMawY0Owu4JiL+HpgGHNHImBq52uSJgxR/Y5j2nwA+MUj51cDVWzA0SZIkSQJoi4gb6/bPycxzAMrFFecDewGPApdFxJsz89t17U8Ezs3Mz0bES4ALIuKAcprYlg+2ESeVJEmSpCbQm5lzhqg7Arg7Mx8EiIgFwCFAffL2Vsp7W2fm9eWCJjsC3Y0ItopbBUiSJEnSeLcUmBsRUyMigMOB2wdpczhARDwHmAw82KiATN4kSZIkaYDM/BVwOXATsIQidzonIs6OiKPKZh8E3h4RvwMuAt6SmUPe2mxzOWxSkiRJkgaRmWdSLLxY76N19bcBh45VPPa8SZIkSVITMHmTJEmSpCZg8iZJkiRJTcDkTZIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJmLxJkiRJUhMweZMkSZKkJmDyJkmSJElNwORNkiRJkpqAyZskSZIkNQGTN0mSJElqAiZvkiRJktQETN4kSZIkqQmYvEmSJElSEzB5kyRJkqQmYPImSZIkSU3A5E2SJEmSmoDJmyRJkiQ1AZM3SZIkSWoCJm+SJEmS1ARM3iRJkiSpCZi8SZIkSVITMHmTJEmSpCZg8iZJkiRJTcDkTZIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJNCx5i4hvRkR3RNxSV/bpiPhDRPw+Iq6MiG3L8lkR8WRE3FxuX6k75gURsSQi7oyIL0ZENCpmSZIkSRqvGtnzdi7w6gFlPwAOyMznAn8EPlJX9+fMPKjc3llX/mXgdGB2uQ08pyRJkiRt9RqWvGXmT4GHB5Rdk5m95e5iYPfhzhERuwDbZOb1mZnA+cDRjYhXkiRJksazKue8/R3wX3X7e0XEbyPiuog4rCzbDVhW12ZZWSZJkiRJE0pbFReNiH8CeoHvlEXLgT0z86GIeAGwMCL2Bwab35bDnPd0iiGWtLe3b9mgJUmSJKlCY568RcSpwGuBw8uhkGRmD9BTPv5NRPwZ2Jeip61+aOXuwH1DnTszzwHOAZg2bdqQSZ4kSZIkNZsxHTYZEa8G/gE4KjNX1ZXvFBGt5eO9KRYmuSszlwMrI2JuucrkKcCisYxZkiRJksaDhvW8RcRFwDxgx4hYBpxJsbpkB/CDcsX/xeXKki8Dzo6IXmAd8M7M7F/s5F0UK1dOoZgjVz9PTpIkSZImhIYlb5l54iDF3xii7RXAFUPU3QgcsAVDkyRJkqSmU+Vqk5IkSZKkUTJ5kyRJkqQmYPImSZIkSU3A5E2SJEmSBhERZ0TErRFxS0RcFBGTB2lzfETcVra7sJHxmLxJkiRJ0gARsRvwXmBOZh4AtAInDGgzm2JF/UMzc3/g/Y2MyeRNkiRJkgbXBkyJiDZgKnDfgPq3A/+ZmY8AZGZ3I4MxeZMkSZKkATLzXuAzwFJgObAiM68Z0GxfYN+I+EVELI6IVzcyJpM3SZIkSRNVW0TcWLed3l8REdsB84G9gF2BaRHx5oHHA7OBecCJwNcjYtuGBduoE0uSJEnSONebmXOGqDsCuDszHwSIiAXAIcC369osAxZn5lrg7oi4gyKZu6ERwdrzJkmSJElPtxSYGxFTIyKAw4HbB7RZCLwCICJ2pBhGeVejArLnTSPq6+uju7ubnp4eOjo66OzspKXFvF+SJElbr8z8VURcDtwE9AK/Bc6JiLOBGzPzKuD7wCsj4jZgHfC/MvOhRsXkL3ANq6+vjyVLljB37lxmzZrF3LlzWbJkCX19fVWHJkmSJDVUZp6Zmc/OzAMy8+TM7MnMj5aJG1n4QGbul5kHZubFjYzH5E3D6u7uZv78+XR1dQHQ1dXF/Pnz6e5u6CqokiRJkgYwedOwenp61idu/bq6uujp6akoIkmSJGliMnnTsDo6OqjVahuU1Wo1Ojo6KopIkiRJmphM3jSszs5OFi1atD6Bq9VqLFq0iM7OzoojkyRJkiYWV5vUsFpaWjjwwANZvHixq01KkiRJFTJ504haWlrYeeedqw5DkiRJmtDsPpEkSZKkJmDyJkmSJElNwORNkiRJkpqAc94kSRoH7u5+dEyvt1fntmN6PUnS5rPnTZIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJmLxJkiRJUhMweZMkSZKkJmDyJkmSJElNwJt0q+n09fXR3d1NT08PHR0ddHZ20tLi3yEkSZI0/kXEwYMUrwC6MrN3uGP9xaum0tfXx5IlS5g7dy6zZs1i7ty5LFmyhL6+vqpDkyRJkkbjS8Bi4Bzga8D1wMXAHyPilcMdaPKmptLd3c38+fPp6uoCoKuri/nz59Pd3V1xZJIkSdKo/AV4fmbOycwXAM8HbgGOAP51uANN3tRUenp61idu/bq6uujp6akoIkmSJGmjPDszb+3fyczbKJK5u0Y60ORNTaWjo4NarbZBWa1Wo6Ojo6KIJEmSpI1yR0R8OSJeXm5fohgy2QGsHe7AhiZvEfHNiOiOiFvqyraPiB9ExJ/Kf7cryyMivhgRd0bE7+sn8kXEqWX7P0XEqY2MWeNbZ2cnixYtWp/A1Wo1Fi1aRGdnZ8WRSZIkSaPyFuBO4P3AGcBdZdla4BXDHdjo1SbPBf4DOL+u7MPAjzLzkxHx4XL/H4DXALPL7cXAl4EXR8T2wJnAHCCB30TEVZn5SINj1zjU0tLCgQceyOLFi11tUpIkSU0nM58EPltuAz0+3LENTd4y86cRMWtA8XxgXvn4POBaiuRtPnB+ZiawOCK2jYhdyrY/yMyHASLiB8CrgYsaGbvGr5aWFnbeeeeqw5AkSZI2WkQcCpwF1KjLxzJz75GOreI+b8/IzOUAmbk8IvrHu+0G3FPXbllZNlS5JI0rj9/yszG/5vQDDhvza0qSpM3yDYrhkr8B1m3MgePpJt0xSFkOU/70E0ScDpwO0N7evuUikyRJkqQtY0Vm/temHFjFRKEHyuGQlP/236BrGbBHXbvdgfuGKX+azDynvF/CnLa28ZSXSpIkSRIAP4mIT0fESyLi4P5tNAdWkeFcBZwKfLL8d1Fd+Xsi4mKKBUtWlMMqvw/8S/+qlMArgY+MccySJEmStCW8uPx3Tl1ZAn8z0oGjSt4i4keZefhIZYMcdxHFgiM7RsQyilUjPwlcGhFvBZYCbyibXw0cSbFs5irgNIDMfDgiPgbcULY7u3/xEkmSJElqJpk57O0AhjNs8hYRk4GpFMnXdjw1/2wbYNdRBHbiEFVPS/rKVSbfPcR5vgl8c6TrSZIkSdJ4FBFvzsxvR8QHBqvPzM+NdI6Ret7eQXHzuF0pVkPpT94eA/5zI2KVJEmSpIlsWvnvjEHqBl2QcaBhk7fM/ALwhYj4+8z8940MTpIkSZIEZOZXy4c/zMxf1NeV934b0ajmvGXmv0fEIcAsNryR3PmjC1WSJEmSBPw7MHB1ycHKnma0C5ZcADwTuJmnbiSXgMmbJEmSJI0gIl4CHALsNGDe2zZA62jOMdpbBcwB9isXFZEkSZIkbZx2YDpFDlY/7+0x4LjRnGC0ydstwM7A8o2JTpIkSZIEmXkdcF1EnJuZXZtyjtEmbzsCt0XEr4GeugCO2pSLSpIkSdIEtSoiPg3sD0zuL8zMLXOTbuCsTYtLkiRJklTnO8AlwGuBdwKnAg+O5sDRrjZ53SaHJkkSsHrFQ2N+zckzdxjza0qSNIIdMvMbEfG+uqGUo8q3Rrva5EqeunFcOzAJeCIzt9mkcCVJkiRpYlpb/rs8Iv4WuA/YfTQHjrbnbYO7gEfE0cCLNiZCSZIkSRIfj4iZwAcp7u+2DXDGaA4c7Zy3DWTmwoj48KYcK0mSJEkTUUS0ArMz83vACuAVG3P8aIdNHlu320Jx3zfv+SZJkiRJo5SZ6yLiKODzm3L8aHveXlf3uBf4CzB/Uy4oSZIkSc0gIs4A3kbRcbUEOC0zVw/S7jjgMuCFmXnjCKf9ZUT8B8WKk0/0F2bmTSPFM9o5b6eNpp0kSZIkbQ0iYjfgvcB+mflkRFwKnACcO6DdjLLdr0Z56kPKf8+uK0tgy9znLSJ2p5hMd2h54p8D78vMZaMMUJIkSZKaTRswJSLWAlMpVoYc6GPAvwL/czQnzMxh57lFxKmZed5gdS2juQDwLeAqYFdgN+C7ZZkkSZIkNau2iLixbju9vyIz7wU+AywFlgMrMvOa+oMj4vnAHuUCJFvK+4aqGG3ytlNmfisze8vtXGCnLRKaJEmSJFWjNzPn1G3n9FdExHYU63zsRdGJNS0i3lxX30Kx8MgHt3BMMVTFaJO3v0bEmyOitdzeDDy0ZWKTJEmSpHHnCODuzHwwM9cCC3hqvhrADOAA4NqI+AswF7gqIuZs5nWHXNV/tMnb3wHHA/dTdBkeB7iIiQVvII0AACAASURBVCRJkqSt1VJgbkRMjYgADgdu76/MzBWZuWNmzsrMWcBi4KhRrDY5ks3uefsYcGpm7pSZnRTJ3FmbGZQkSZIkjUuZ+SvgcuAmitsEtADnRMTZ5b3aGuUXQ1WM9j5vz83MR/p3MvPhcnKeJEmSJG2VMvNM4MwBxR8dou280ZwzIj4wSPEK4DeZeXNmvmeoY0ebvLVExHb9CVxEbL8Rx0qSJKlB3nv+tWN+zS+eMm/MryltReaU23fL/b8FbgDeGRGXZea/DnXgaBOwz1LcCfxyigl0xwOf2PR4JUmSJGlC2gE4ODMfB4iIMymGZ74M+A3FPeMGNarkLTPPj4gbKe76HcCxmXnb5kYtSZIkSRPMnsCauv21QC0zn4yInuEOHPXQxzJZM2GTxtjvPnbGmF7vef/782N6PUmSpAnmQmBxRCwq918HXBQR0xgh33LemiRJkiSNkcz8WERcDbyUYlTjO+tuL/Cm4Y41eZM0aksvGHIIdsPsefKHxvyakiRJjRIRXwAuycwvbOyxo73PmyRJkiRp890E/HNE3BkRn46IOaM90J43SdKE9MjKJ8b0etvNmDam15MkjU+ZeR5wXnn7tdcDn4qIPTNz9kjH2vMmSZIkSWNvH+DZwCzgD6M5wJ43aTP19fXR3d1NT08PHR0ddHZ20tLi30UkSZL0dBHxKeBY4M/AJcDHMvPR0RzrL0xpM/T19bFkyRLmzp3LrFmzmDt3LkuWLKGvr6/q0CRJkjQ+3Q0cApxJkcA9NyJeNpoDTd6kzdDd3c38+fPp6uoCoKuri/nz59Pd3V1xZJIkSRqn1gE/Bv4b+D/A94GzRnOgyZu0GXp6etYnbv26urro6empKCJJkiSNc+8FXgh0ZeYrgOcDD47mQJM3aTN0dHRQq9U2KKvVanR0dFQUkSRJksa51Zm5GiAiOjLzD8CzRnPgmCdvEfGsiLi5bnssIt4fEWdFxL115UfWHfOR8j4Id0TEq8Y6ZmkonZ2dLFq0aH0CV6vVWLRoEZ2dnRVHJkmSpHFqWURsCywEfhARi4D7RnPgmK82mZl3AAcBREQrcC9wJXAa8PnM/Ex9+4jYDzgB2B/YFfhhROybmevGNHBpEC0tLRx44IEsXrzY1SYlSZI0osw8pnx4VkT8BJhJMf9tRFXfKuBw4M+Z2RURQ7WZD1ycmT3A3RFxJ/Ai4PoxilEaVktLCzvvvHPVYUiSJKnJZOZ1G9O+6uTtBOCiuv33RMQpwI3ABzPzEWA3YHFdm2Vl2dNExOnA6QDt7e0NCVga7ybvsidtB72EvkkdtKztoffm61m9fGnVYUmSJGkzVTa2KyLagaOAy8qiLwPPpBhSuRz4bH/TQQ7Pwc6Zmedk5pzMnNPWVnVeKo29ybvsyRP7v5jDjzuBfQ86mMOPO4En9n8xk3fZs+rQJEmStJmqnJjzGuCmzHwAIDMfyMx1mdkHfI1iaCQUPW171B23O6Oc0CdNNG0HvYRjTzxpg/vOHXviSbQd9JKKI5MkSdLmqrJ76kTqhkxGxC6ZubzcPQa4pXx8FXBhRHyOYsGS2cCvxzJQqVn0TeoY9L5zfZOqu3XBpO13Zs2eB9Db0kZbXy/tS29h7cP3VxaPJElSs6qk5y0ipgL/A1hQV/yvEbEkIn4PvAI4AyAzbwUuBW6jWIXl3a40KQ2uZW3PoPeda1lbzU3DJ22/M/fvtC8vf92x7HPA83j5647l/p32ZdL2LvAiSZK0sSrpecvMVcAOA8pOHqb9J4BPNDouqdn13nw9Cy66cP3QyVqtxoKLLqT35moWZ12z5wEc87pjNxjGeczxJ3DddxcQ9r5Jkiag57/tK2N6vd9+/Z1jej01lqt6SFuR1cuXMg340eUXj4vVJntb2gYdxtnb2sakSiKSJElqXiZv0lZm9fKlME5uDdDW10utVtsggavVarSt660spr6+Prq7u72puiRJajr+YpHUMO1Lb+HKSy9ePw+vVqtx5aUX0770lhGObIy+vj6WLFnC3LlzmTVrFnPnzmXJkiX09fVVEo8kSdLGsOdNUsOsffh+dgau++4CelvbaFtX7WqT3d3dzJ8/f4M5ePPnz2fx4sXsvLOLqEj9brhr7L+jL9zb76AkjcTkTVJDrX34fuLh+9fPcVtbYSw9PT2DzsHr6almNU5JkqSN4bBJSRNGR0fHoLdS6Oio7j54kiRJo2XPmzTAT09/05he72XnfGdMrzeRdXZ2smjRovVDJ2u1GosWLaKzs7Pq0CQNY+FNfx7zax598DPH/JqSNBKTN0kTRktLCwceeCCLFy92tUlJktR0TN4kTSgtLS0uTiJJkpqSf26WJEmSpCZgz5skbaWevPePY37NKbvtO+bXlCRporDnTZIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJmLxJkiRJUhMweZMkSZKkJmDyJkmSJElNwORNkiRJkpqAyZskSZIkNQGTN0mSJEkaREScERG3RsQtEXFRREweUP+BiLgtIn4fET+KiFoj4zF5kyRJkqQBImI34L3AnMw8AGgFThjQ7Ldl/XOBy4F/bWRMbY08ucanr+/3kjG/5ttuu37Mryk1g5g8jUdbprN2XTKpNdi273Fy9RNVhyVJkgptwJSIWAtMBe6rr8zMn9TtLgbe3Mhg7HmTpIrE5Gn86bE+Dv2bV7LXvs/m0L95JX96rI+YPK3q0CRJmijaIuLGuu30/orMvBf4DLAUWA6syMxrhjnXW4H/amSwJm+SVJFHW6Zz9LHH0dXVBUBXVxdHH3scj7ZMryagtnYeWdfOAz0tPLKuHdraq4lDkqSx05uZc+q2c/orImI7YD6wF7ArMC0iBu1ZK8vnAJ9uZLAmb5JUkbXrcn3i1q+rq4u1fTn2wbS188f7HuaQl81jr2fO5pCXzeOP9z1sAidJmsiOAO7OzAczcy2wADhkYKOIOAL4J+CozOxpZEDOeZOkikxqDWq12gYJXK1WY1JLjHksj/TA/GOO3aAXcP4xx/LLn17Ldq1jHo6kJnb0pxeN+TUX/q/5Y35NTQhLgbkRMRV4EjgcuLG+QUQ8H/gq8OrM7G50QPa8SVJFtu17nIULLqdWK1YVrtVqLFxwOdv2PT7msazp7R20F3BNb++YxyJJ0niQmb+iWEHyJmAJRe50TkScHRFHlc0+DUwHLouImyPiqkbGZM+bJFUkVz/B7G2m8YsfX8PavmRSS3WrTba3tQ3aC9je1gasGfN4AIgWHl75BGvWrKW9fRLbz5gG2VdNLFKdf//h78b8mn9/xPPG/JqSIDPPBM4cUPzRuvojxjIee94kqUK5+glmrnqAHVd3M3PVA5XdJmC7Dlh05YINegEXXbmA7ToqCQeihTvu6uKQQ1/KXnvvzSGHvpQ77uqC8H9bkqSJy543SRL0rmHfXbfnlz+9ljW9vbS3tRWJW281vW4Pr3yC+UcfveEcvKOP5pe/+DnbT59SSUySJFXN5E2SVOhdUyxO0gqwBiqc7rZmzdrB5+CtWQuYvEmSJiaTN0lN668/vHDMr7njESeN+TUnovb2SYPPwWufVGFUkiRVy+RNlVv46r8d82se/d//b8yvKWn0tp8xjUULF64fOlmr1Vi0cGGli5a0BKxcsYK1a9Ywqb2dGTNnUsUt+SRJE1dlyVtE/AVYCayjvLN5RGwPXALMAv4CHJ+Zj0REAF8AjgRWAW/JzJuqiFuSNAayj2ftXeOXv/j5uFhtsiXg7jvv5Oij569PJhcuXMRe++xjAidJGjNVL9v1isw8KDPnlPsfBn6UmbOBH5X7AK8BZpfb6cCXxzxSSdLYyj62nz6FnbffplikpMLbBKxcsWJ94gbF/Lujj57PyhUrKotJkjTxVJ28DTQfOK98fB5wdF35+VlYDGwbEbtUEaAkaeJZu2bNoAuorF1b0T3wJEkTUpVz3hK4JiIS+GpmngM8IzOXA2Tm8ojoLNvuBtxTd+yysmz5WAYsSZqYJrW3D7qAyqRJ7RVGJUmbb6+//Ycxvd7d/+9TY3q9rU2VPW+HZubBFEMi3x0RLxumbQxS9rRZBhFxekTcGBE39vZWuMa1JGmrMmPmTBYuXLTBTcwXLlzEjJkzK45MkjSRVNbzlpn3lf92R8SVwIuAByJil7LXbRegu2y+DNij7vDdgfsGOec5wDkA06ZNcwq5JGmL6EvYa599+PkvfsnatWuYNMnVJiVJY6+SnreImBYRM/ofA68EbgGuAk4tm50KLCofXwWcEoW5wIr+4ZWSJI2FvoRp28xk2x12Yto2Jm6SpLFXVc/bM4ArizsA0AZcmJn/HRE3AJdGxFuBpcAbyvZXU9wm4E6KWwWcNvYhS5IkSVJ1KkneMvMu4HmDlD8EHD5IeQLvHoPQJEmSJGlcqnK1SUmStIkmtQbrVq2kd+1a2iZNonXqDNauq24s59RJrXSsW03furW0tE6ip3Uyq9auqyweSdoajbf7vEmSpBFMag0eXHo3Lz/spezzzL15+WEv5cGldzOpdbDFmRtv6qRWVv91GUfMO4xn7fNMjph3GKv/uoypk1oriUeStlYmb5IkNZl1q1ZyzDFHr7/vXFdXF8ccczTrVq2sJJ6Odat5/THHbBDP6485ho51qyuJR5K2ViZvkiQ1md61aze4YTgUCVPv2rWVxNO3bvB4+tZVE48kba1M3iRJajJtkyatv2F4v1qtRtukSZXE09I6eDwtrdXEI0lbK5M3SZKaTOvUGVx55cL1CVOtVuPKKxfSOnVGJfH0tE7miiuv3CCeK668kp7WyZXEI0lbK1eblCSpyaxdl+y0515c97Ofj4vVJletXcfUHXfnh9f+zNUmJamBTN4kSWpCa9cldEynpQP6gL4KbxMARQK3ikkQk/oDqjQeSdoaOWxSkiRJkpqAyZskSZIkNQGTN0mSJElqAiZvkiRJktQETN4kSZIkqQmYvEmSJElSEzB5kyRJkqQmYPImSZIkSU3A5E2SJEmSmoDJmyRJkiQ1AZM3SZIkSWoCbVUHIEmStKXNnNLOM9rXEX3ryJZWHljTyoon11QdliRtFnveJEnSVmXmlHamr3qQIw+fx3777sORh89j+qoHmTmlverQJGmzmLxJkqStyjPa1/GG1x9LV1cXAF1dXbzh9cfyjPZ1FUcmSZvH5E2SJG1Vom/d+sStX1dXF9Fn8iapuZm8SZKkrUq2tFKr1TYoq9VqZEtrRRFJ0pZh8iZJkrYqD6xp5bIrFqxP4Gq1GpddsYAH1pi8SWpurjYpSZK2KiueXANTd+LqH13rapOStiomb5Ikaauz4sk1rHiyf29duUlSc3PYpCRJkiQ1AZM3SZIkSWoCJm+SJEmS1ARM3iRJkiRpEBFxRkTcGhG3RMRFETF5QH1HRFwSEXdGxK8iYlYj4zF5kyRJarDOGZM5bI/pzNt9KoftMZ3OGZNHPkhSpSJiN+C9wJzMPABoBU4Y0OytwCOZuQ/weeBTjYzJ5E2SJKmBOmdMptb6BEe/6nCe+5x9OfpVh1NrfcIETmoObcCUiGgDpgL3DaifD5xXPr4cODwiolHBmLxJkiQ10LO2beOE446lq6sLgK6uLk447lieta13bJLGs8y8F/gMsBRYDqzIzGsGNNsNuKds3wusAHZoVEwmb5IkSQ3Umn3rE7d+XV1dtGZfRRFJqtMWETfWbaf3V0TEdhQ9a3sBuwLTIuLNA44frJctGxZso04sSZIkWBct1Gq1DRK4Wq3GuvBv6NI40JuZc4aoOwK4OzMfBIiIBcAhwLfr2iwD9gCWlUMrZwIPNyrYMf+vRkTsERE/iYjby5Vb3leWnxUR90bEzeV2ZN0xHylXcLkjIl411jFLkiRtqjse7eXiyxdQq9WAInG7+PIF3PFob8WRSRrBUmBuREwt57EdDtw+oM1VwKnl4+OAH2fmVtXz1gt8MDNviogZwG8i4gdl3ecz8zP1jSNiP4pVXfan6K78YUTsm5nrxjRqSZKkTdC9cjXMmMbC7/+I1uxjXbRwx6O9RXkFajtM55A9t2FyS7K6L/jl0sfoeujxSmKRxrPM/FVEXA7cRJHD/BY4JyLOBm7MzKuAbwAXRMSdFD1uA1ej3KLGPHnLzOUUE/7IzJURcTvFRL+hzAcuzswe4O7yhXkRcH3Dg5UkSdoCuleupntl1VEUidtLdoITX/dKurq6qNVqXHjp5cB0EzhpEJl5JnDmgOKP1tWvBt4wVvFUOti6vInd84FflUXviYjfR8Q3ywmCULeCS2kZQyR7EXF6/2TD3l6HIkiSJNU7ZM9tOOn44zZY+fKk44/jkD23qSym2TvP5IzDZ/NPr9qXMw6fzeydZ1YWizTeVZa8RcR04Arg/Zn5GPBl4JnAQRQ9c5/tbzrI4YOOI83MczJzTmbOaWtzLRZJkqR6k1ty0JUvJ7c0bIrOsGbvPJOjZk/j1GOP5EXP249Tjz2So2ZPM4GThlBJ8hYRkygSt+9k5gKAzHwgM9dlZh/wNYqhkfDUCi79dufpN8eTJEnSCFb3xfqFU/rVajVW9zXsnsLDeu3+nZx8whs26Ak8+YQ38Nr9OyuJRxrvqlhtMigm9t2emZ+rK9+lrtkxwC3l46uAEyKiIyL2AmYDvx6reCVJkrYWv1z6GBdeevkGK19eeOnl/HLpY5XEM7UtBu0JnNpWTTIpjXdVjC08FDgZWBIRN5dl/wicGBEHUQyJ/AvwDoDMvDUiLgVuo1jl5d2uNClJkrTxikVJpnPRd68ZF6tNrurNQe+Bt6q3mmGc0nhXxWqTP2fweWxXD3PMJ4BPNCwoSZKkCaLrocfHzcqS37u1mwsuvmz90MlarcYFF1/GVbd2Vx2aNC65qockSZIq8af7V3AVcN6Cq5naFqzqTa66tZs/3b+ispies8f2vP6FuzO9vYXH1/RxxQ3LuP2ehyuLR6pn8iZJkqTK/On+FXy+wmSt3nP22J4Tnr89pxz/2vU9gedfeCkXgwmcxgWTN0mSJAl4/Qt3X5+4QbF4yiknHc83Lv0eH68oeTtgr504ed4+zJjcysrV67jg2ju55e4HK4lF1TN5kyRJkoDp7S2Drn45vb2aWyMfsNdOvG3e7pz6pvnrewLP+84lfB1M4Caoym7SLUmSJI0nj6/pG/Q+eI+v6asknpPn7cOpb3rjBj2Bp77pjZw8b59K4lH1TN4kSZIk4IoblnH+hZducB+88y+8lCtuWFZJPDMmtw7aEzhjcmsl8ah6DpuUJEmSKBYluRj4xqXfW7/a5MUVrja5cvW6Qe+Dt3K1tzyeqEzeJEmSpNLt9zxc2eIkA11w7Z2c951L1g+dXD/n7do7qw5NFTF5kyRJksahW+5+kK8D53xn0frVJr/uapMTmsmbJEmSNE7dcveD/IPJmkouWCJJkiRJTcDkTZIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJmLxJkiRJUhMweZMkSZKkJuBNuiVJkiSNykH77sHbj3ohM6d1sOKJHr521Q3c/Md7qg5rwjB5kyRJkjSig/bdg/ceezCnnfxGurq6qNVqfOuCC/niAkzgxojDJiVJkiSN6O1HvZDTTj6Jrq4uALq6ujjt5JN4+1EvrDiyicPkTZIkSdKIZk7rWJ+49evq6mLmtI6KIpp4TN4kSZIkjWjFEz3UarUNymq1Giue6KkooonH5E2SJEnSiL521Q1864IL1ydw/XPevnbVDRVHNnG4YIkkSZKkEd38x3v44gL40rcuWb/a5BcXuNrkWDJ5kyRJkjQqN//xHt79GZO1qjhsUpIkSZKagMmbJEmSJDUBkzdJkiRJagImb5IkSZLUBEzeJEmSJKkJmLxJkiRJUhMweZMkSZKkJmDyJkmSJElNwORNkiRJkppA0yRvEfHqiLgjIu6MiA9XHY8kSZIkjaWmSN4iohX4T+A1wH7AiRGxX7VRSZIkSdLYaYrkDXgRcGdm3pWZa4CLgfkVxyRJkiRJY6ZZkrfdgHvq9peVZZIkSZI0IURmVh3DiCLiDcCrMvNt5f7JwIsy8+8HtDsdOL3cPRh4ckwD3fLagN6qg6hjPMMznuEZz/DGUzzjKRYwnpEYz/CMZ2jjKRYwnpEYT2NMycxm6dCireoARmkZsEfd/u7AfQMbZeY5wDljFVSjRcSNmTmn6jj6Gc/wjGd4xjO88RTPeIoFjGckxjM84xnaeIoFjGckxiNonmGTNwCzI2KviGgHTgCuqjgmSZIkSRozTdHzlpm9EfEe4PtAK/DNzLy14rAkSZIkacw0RfIGkJlXA1dXHccYG29DQI1neMYzPOMZ3niKZzzFAsYzEuMZnvEMbTzFAsYzEuNRcyxYIkmSJEkTXbPMeZMkSZKkCc3kTZIkSdKQorBL1XHI5E1NKiK2i4jnVhzDoRExrXz85oj4XETUKo6pFhFHlI+nRMSMKuPR4CKiJSIOqToOjU5EPG1++GBlGj/KH5qdEbFr/1ZhLG8YTdkYxfL/t3eeYZaUVde+1yA5ioBIDoLkDJIFBFQURIISRUUURTEBYiQpBhQFXkVAHAERkCjgKyA5ZwaG5CdBfBUQJI7kgfX92M+ZPn3mdA8oU081ve/r6qu7qvpQi55zqmo/e++1p6lx3qGQ9L4++3avoSUZHkef1bm1dSTZ89YqJJ0D9P6DPAXcCBxl+/mG9awJ7AcsTJjbiPj8Ltmkji49lwJbFC3jgEeBy2x/uZKe24AVgRWAE4Bjga1sv6uSnt2IIfVz2l5c0hLAL2y/u5Ke6YGtgUXoMkeyfWDDOo5g8s/VJGzv2aCcSUi6xvZaNc7di6S5gd2Y/N/qEw3r2Gq447bPaEpLN5Jutr3KlPY1qGcr4AfAPMR1uXNtnq1hHeMZ/rNVZYFN0meBA4HHgFcG5HiZSnpa8/6RdD9wGjDW9p1Nn7+PnquBb9q+uGx/FdjA9mRBXUN61gH2Z/LnnsUq6el3TXwKGG/7kQp6jgSOsX1z0+dOBsiVw3ZxHzA3cFLZ/gjwT2BJ4Bhg54b1jAX2AW4CXm743P2Y3fbTkj5J3Hj2KwFULSbatqQPAofZPlbSLhX17AGsAVwHYPsvkuapqOf3xE3mJuCFijpurHju4bhA0tbAGa6/ivZ74ArgQup+1jcv3+cB1gYuLtsbApcCjQZv5fPzNmBGScsTD3IAswEzNamlhx8Cm9u+q6IGgA+U73uU7yeU7zsCzzYvZxJfBpa2/WhFDZ2s0mbA/JIO7zo0GzCxjipWIGbl/lLSGOBXwMm2n66kZwvgXEl7A+8Flir7anEs8CXa89yzK7AWcEnZ3gC4FlhS0oG2TxjqhVOJdYHdJN0LPMNAcFtlIWu0ksFbu1jZ9vpd2+dIutz2+pJqzLV72vY5Fc47FG8q9dYfBr5RWwwwQdLXgJ2A9Us5yrQV9bxg+0Upni9LWVfNoGAB2++teH4AbB9XW8MQfBmYGXhZ0nNUyp4UZrL91QrnHYTtjwNIOhdYxvZDZfttwM8qSHo/8AlggXL+TvD2NPCtCno6/LMFgRu2H4DIVthep+vQvpKuIrJfNfg78Hilc3fzILF4tAURDHSYQAQIjWN7ArEYfIyk9YnF4p9IOg04yPY9Dev5l6QtiIWjm4BtKi9mPWX7jxXP38srxELEPwEkvRU4EngncDkDCyZNsWXD50v6kMFbu5hb0kK2/wYgaSFgrnLsxQp6Lpb0PWK1e1LmxHatbNeBxKD2K23fIGkx4C+VtEBkRncAdrX9cPn3OqSinsskfZ3IEmwCfBaoGXxfLWl52+MrapiEpCWBvZi8NHCjGnpst6kf8VxJm5V5mm1gkU7gVuhUIDSK7bHAWEn72P5h97Hyea/FjZJOAc5i8LW5SlkpMLOkdW1fCVD6OWeupAXgHuL+dS6D/z6HD/2S1x/bt0q6Hdi0LYtIZZHx/cDHiWvhj4ETgfWIWbqNfM4kTSAWF1W+TwcsBmwjqUYJcCdzdImkQ5j8uadWmeAincCt8AiwpO3HJb3UtBjb95aWmiVtHy/pLdT9rI9KsuetRUjaDPgFcC9xQVuUeAC/FNjN9k8b1nNFn93uyQ6OeiTNxuBgoMqKbymB2RXYlHj/nA/8stYqpqQ7gbcD9xM3wU5mqVYfzK3E52tQOYztm4Z80dTVI6K8bFHbB0laEHib7esraJlA3IBfLF81s4BI+h9gCSIrYKLM6x7bn6+kpzU9S+XcY/vsdtM9ih3Kg+9YYHbi3+sp4BO1HnglHdRvv+0q2VJJ5wFb2K6xCNur5T6iBO9Y21f3HDu8Vg9wbSRdMsxh11rkk/RzYCHg1LJrayKzvDdwru0NG9bzTWAdYHHbS0qaHzjF9rpN6hjtZPDWMorJw1LEw9PdTZuUtJHOqvdQxhMVDSc+TWQDn2NAV5XG5rKaepztnZo+91BoCOfNTqlV00i6yfaqNc7dj9L4/Qqwke2lJb0ZuMD26pWltYLSqL9e2bzc9pkVNCwJLA0cyuAyt9mAr1c0wJihLfeGsmi0je3flYUs2X6qtq42IekoYBXgbKJPCADbh1bQMovtfzd93qGQ9CHg4s57RtIchGHJWXWVtYOyyLc1ETAJuBI4veKi7DhgZeBm2yuXfbfVWpQdrWTZZPtYlYGyrhUkYfv4GkKKA913gPltf0DSMsAatn/dsJROb0fbjCf2Apa1/a/aQmy/LGluSdO1YXUXBvXDzAPMUEuHpDnLj+cUF7ozGVwOU6s35p22V5F0S9HxhKTpaghpUxawQykBrFUG2GFZYCtgDqDb2n0C8OkqioLbJf2TMJm5HLiqVsBk+xVJnwN+V9H0YhCS5gK+Qvz7Tbr22N60kqQHy9cYoHa59Hxl4eittpdTjNzZwvZ3KunZr3thxvaTkvYjSoIbR9LBwA9tP1m23wx8xfY3a+gpQdpp5asNvGDbkgwgqaZx06glM28tQtIJwOKEGtI5yQAAIABJREFUDX6nrMsVM0t/IGrhv2p7RUnTEqsty1fSs5jt+2qcux+lFGYr2zVd1SbRptXdomcLop9iPqJOf2HgLtvLNqzjfgZ6K3qpkikFkHQd4ah4Qwni5iYybytX0NKKLGBXH8xkh6hbxjmpn6stlJ679YgV+c2AJ22vVEnLt4gKhFMYfO2pVUJ+HrFI8yXCCXMX4GHb+9TQ0yYkXUaU3B3VlTm53fZylfRMlrWRNL7ic8YtvdfgyiXSrRgL0qXnq0QZ53uJxf1dgdOabusZ7WTmrV2sRjistSWinsf2bxUWvth+SVJN69xfl/rqG4jV5itc1wzja4Qpx3UMzuTU6hlo0+ouwEHAmsCFtleWtCGwfdMibC/a9DlfJYcTD5jzSPousA1QZXWXlmQB3S4Tl24elnQ+MG9ZyFoBeL/t79UQI2kBImhbj5g1eQdRTlWLTq/dHl37TBhQ1GBu20dJ2sP2RZIuZsBqvXFKP1W/kv8afVQz2b5eGrSWVWtsAYT5zqGEm6uBzzPYmbNpppE0ve0XACTNCExfUU9bxoIAYPsHihEYLxLXnu+6Xe6co4IM3trF7cC8wENT+sWGeKaUnHXS46sT5UJVcIxMmA5YnZh18odSvz/n8K+cahxFzKEaz8Ag2GrYPqC2hh5esv2YpDGSxti+RNIPagqStBywDINLqaqUJds+UdJNwLuJ1dQtK96gXyp9k53P+txUfk9LWpHBPW81Zzr+Evg6A+MKxhNmKlWCN+BvxCLWwbZ3r6RhEi1cIOm48D0s6T3EotaCFfXs1fXzDEQPU62A6V+SFmfgs74NdZ85Pk+M3TilbF9AvUUsgN8AFxVTIBMLEzWdQlsxFqSbEqxlwFaRDN7axVzAnZKuZ3Amp9bAyr0Iq/nFSqnF/ER2oAqS1iUe5tYjelDOJXo+ajHR9pcrnn8Q5YF7Hybv86jikgU8KWkWIkt6oqRHqLjCW/ooNiCCt/8F3kdkK2r1lB5GuHTVmF/WS78sYLU5ZpK+AOzGQM/biZKOtn1EJUkz2766k60oPR+N23R3sTIxLHcHSfsSI1Mus31sLUFtWhgBDpY0O3EP+xlhMLN3JS39HG2vKvfUGuwBHA0sJekfhBvwjpW0YPsZYi5gK4xUijnaeAYW1Q6yfX5FSa0YCyLpMtvvkvQEg7PInTLOWovoo5LseWsRkt7Vb7/tWhd5SqZraeIDemdNM4xSsnkjsdr9v7WNOcpD7gNEgFvdAEPSBcTq5V7A7kSfx6OuNHxZ0szA88R7Z0fCRvxE249V0jOeKPO4pZS+vZUYpbB5JT27ELMClyQCp1NsVzPlkbQUAw8sF9Vc7ZV0G7BWebDrvJeuqeVoVnqoPkO4vK0iaUtgd1ccQl8WRjoLWjsRD1CLVNLSd2HEdqOLfZI+Z/t/mjznq6HLNAmirH1V4HDb72hYR7cz6MzAGMfQ7mooZgL+EpjF9kIl4/5p25+tqastqCVjQUr1zCulQqOfoJotNaOODN6SyZD0LtuXFcOJybB9dtOaYJKF8DrA+kTp5CvEA12t2T3399ld0wDjJturdjeAd1bLaujp0tWWOXjX216jlCpuSJQA3960gUofXXMSZVTbAQvZXqKChhNs7zylfQ3qGQ+s7mKHL2kGwtillonB24lsxZrAo0SZ2fa2+10DmtBzI9GHczWRPb7clUZwFD2tWBipaSwxHD2mSROJbNeBNUxwJF3uFs1qLT3j2wBn1zRQkXSl7XX7mCZVNQhpC+U+PiRuidPsaCHLJltACy8amwCXMdgau4MJN8PGcVgI30f0LixAOPVNW0NL0dPWPo+HJL2f6PNYoJYYDZ6D9wrl/Uw9E4MbywLAMURD/L+Balb4XbydmO24CHBnJQ2DAtiyulpzJt5Y4DpJZxLvmw8C1UoCbd8DbFRK8eRiI16R99l+tLKGbp4rq/ITy0PeI9T7nLeOlt0r/iRpL1riDFrO/X89BiqNZ3Fchky3xTRJ7ZtvewfDuDYTDpRJQ2TmLRkS9ZkZJmmOWg8uku4F/kysNF8BXNeC0snW9HlI+gDxd1kQOILo8zigYqb0L0TpW/U5eL1IWgSYraYJRjFv2Qq4F/gdcEbTny1JXyOMOGYEOiMvRDiJHW37a03q6dG2ClEWCOEse0tFLdMBWzIwgxMA2wdX0jM7sB9RhQCx2HagK816k/Rz4n20HTFf7d/AONsfb1jHRAbex4MOUddefVqi7Lbz73UpYdXfeN9kCytGTgMOBf6HyGzvCaxme7tKeg4DTrZ9TY3zd+nY3PY5pbx+MmzXNFFJKpPBWwvoqYefjIplZucQDngvl+15gD+44dlPXXrG2K7u6tihLX0ebUUtmoMn6U3Ev89SZdddwHm2axqo7E7Mx6ke3Er6Xs1ArR8leFuPyNpeZfvmilr+QPRv3kRXVsB2FfdUSacT7sSdB7idgRVtb1VDTzc1F0bUZ0ZXG5D0S6JKpPvf62Xbn2xQw7a2T1X75qXOBRwGbEz0A54PfKFib3TbepFXrrlw1Y+yeLQ4gxetr66naPSRwVsLUHuHCH+GuKBuS5TfnQPs60ozPSQtCRwJvNX2copZS1vY/k4lPa3o8+jS07a/z8qU8jcqzsGTNB8x4+kh4Bbic7YyMZZjQ9sPNqxn2J6cGkGKpHWITMkzknYihr0fVquPStK3ievO6ZQxCsCpFd/L1YYY90PSOPcM5O63rwEd7wFmtX1az/4dgUds/6lhPW0N3m61veKU9k1lDTc7zHZa2RfYNtrQi1x0XAK8DTiVyAjeUUNHl55dgS8T7uPjCf+Ba21vUFPXaCN73lpAy+rhJ2H7yFIudAbRv7CH7ZrW/McQds9HFX23SfotUOWBjvb1ebTt79OWOXgHA0fa/mn3Tkl7Es6lfctSpiI/HuaYgRqjHY4EVixOb/sQ/WXHA7XMbrYHVu4yLPk+cDP13svXSlrGdq2exF6ek7Rux/CiBN/PVdBxANBvseoiImvRaPBGPOC2kZclLW77XgBJi9F8X9fjJRBYTNJkpfSuNJKo/C0OI0omDVwDfKkF2cE29CJje0NJ8wIfBo4uzxqn1FrIAr4IrEaYxa0naVnqzuUblWTw1iIkHU/0LF1h++6KOnozI4sA44CVSwr/8OZVATCT7et7Gpurlb3RPgOMtv192jIHb03bH+vdaftwSX9uWoztDZs+56tgom1L+iCRcTt2qF6LhvgrUZLzfNmenugNbBRJtxAPlNMC40of5wsM9FDVymDsDhxfypcAnqD5RQiIa85kxim2H1ZY0TdKrR7EV8HewCXFcEvAwkCj/YDAZkRG/QSGX0Bqmt8Ss/g+VLa3A04C3llDTJ9e5INqGxTZfhg4vATf+wDfpt5C1vO2n5PU8UW4QzFmJmmQDN7axa+JBv0jymrUOMIC+rCGdczds33OEPub5l+SFqc4L0nahiiFq4IH5tD8ovR3VTXAoGV/H+Jh5VPUn4M3XEaiWj9em0wMgAnFvGQnYP3iNtm4k2uXs9oLwB2S/lS2NyGMipqmdf2rilld7yil2rNBVZvuGSS9qbd3tLy3Z6ykqXXYvkjSEsA7iODtbtsvTOFlrzfH2t5Z0jGuODu2D7J9Qtf2byR9rpqaGOPQGqMtSUsTPXjbAI8BJxOmQLV4qCxanwOcL+lx4J8V9YxKsuetZZSHptWJOVS7E6V5uarBpPKKo4kRAU8QF9kdm+7LaWPPErTn79OlpxWuZmW1e69+h4Af2l68ST2TTt4CE4MuLfMCOxCz1K6QtBCwgRt2Tp1Stq+Ww5qk1YG7bP+7bM9KBFBVjAzUklldpZz1rcDnPHig+uHAv2x/tZKuadyCocGlf7Q3OEHSbsAztn/boJY7CdOmswmjrUElGk0vqnUZte0DPEkEJSYCleltH9Sknh5tW9Dl5Gr7nOF+fypruZbIRJ7adH/2lJD0bmB2wsiu6cWIUU0Gby1C0kXAzETN9xWEc+EjFXScSZ+5Ih1qO5qVh4MxtidI2tr26Q2f/5Ly4wxE7fetxI1wBWJ8wbpDvbYJuv8+NXW0BUljhzvuhu3MO7TBxKDNSJqRMApovLS1j5ZbgFVd3G5L9usG21Vm4Un6FpFRrjqrS+Hi+h3gk0BnkWghomfyW5WyyJ2Fo9OAsTX7FMv7Zv3ea3HJmF7S5PuntEN8hujL/geDg7cai2ptNWr7HrAGcGLZtT1woyu48ZbF/ONt79j0uYdC0o+Jnrs2zEgdtWTw1iIk/YQYjPsCcBVwOdEU2mgjellNGRLbFzWlZUpI+pvtKsMhJZ0MfNf2+LK9HLBXv/6qhvS8hZj9tC5xU7ySmP3UqOWypI1sXyypb5Bv+4wm9bQVSTcD2/aYGJxWo49K0gQGFmymIzKC/7Y9+9Cvmqp6Ngd+BExne1FJKxHv5VqmCv0C7dtsr1BJTyuy2h1KoP32snlP0/esPnpmJXqnPk7Yz/+KcOprtLx0uPdIrfePpCNtf6bp844UJN0GrNS1UDMN4Shd67N+HuEaXXWmbQeF2+RHCC+E04lAblxVUaOQ7HlrEba/BCBpFuKmM5awM5++YR2TgrOystp9U65pgNGPfqt2TbFUJ3ADsH17ecisxclEwL912d6RWJnfuGEd7yJcJvu50JlwL03aYWIAgO1Zu7clbUmsPtdi/3L+SwFsj5NU05X3fsXolKOJ9/BnCFOVKrhlDsUlWBs/xV9siJLpOgY4RtL6RNnZTxQDoQ+yfU9DUqaVNHOnpLRDCS6na0jDIDqBm2Jua/ecrr/V0FO0rE0EA5OeSZsu2e5hDqCTxa6ygNXFA8BVCofQ7iz7oTXE2D4WOFbS3EQf3k8lzZvtPc2SwVuLKE266xHZtweI1cJq1vyS1iOcqTolFvNK2tn2VbU09aFm6viu0rf0m6JjJ2L4cy3m7OkT+E55CG8U2/uV71UCkZFCS0wM+mL7LEn7VpQw0fZTGuycWvOz/mnCEe+gouMSolSwcSQtTPRL/UvSmkSm/R7bZ9XQ00ZKtuT9xGLIIoS74onE/fV/iQHMTXAscJqkz9j+a9G2CPFeOrYhDYMoWe1DgfmI8TYLE/etZSvpOYEY+DyOgfEJJkaV1OB7wC2lPUJE71vjJZNdPFi+xgCzTuF3m2RB4rM1P9DUYkhSyOCtXcxIXFRvakmG6yfAZp2egeJ6dALR59UYimHY/R7cRDTL1+LjxAr8F8r25cDP68nhEknbEfbGEKtif6ioB0nvJx4Kuld4D6ynqD1I2hY4zzGP75vAfpK+U8PwpqfEdQzxGa8ZLN0uaQdgmhLg7glcXVHPorYHOU+WwKnRnuTS6/YxwKVse2MiO/l+SRvY/mKTelrMX4gA+xDb3e+b00omrhFs/0jSv4HLSkWNiezJ920f2ZSOHr5DzFS70PbKkjYk+rpqsRqwjFvSw2P7JEmXEsZxAr7qsOqvpeeAWufuh6TvEs8W/0dU9ryz6V7bJHveWodiSO56ZfMK27dW1DJZTX6NOv2y0jwktdwUe5G0ILCd7UMqnX8CYXjzMnHTGcNAmYVtz9awnl8AMxHOqb8kLvjX2961YR3DGuzU6sHrfJYkrUus9v4I+Lrtxucb9Zi6TCRKAo+pYZhU9MwEfAPYlHgvn0+Uuz0/7Aunnp6be3sRJd3UtGFJcQxcifhc/Q2Y1/azpbx9nO3lmtTTpesi2++e0r4G9czi4gzaFkrwptpGUpJutL2apFuBlW2/Iul621XKpCWdCuxpu+ZYm0FImp/ISHaXcV7esIZzGN44rlb/7+cI58scD1CRzLy1iOIG9SkGeoJ+I+lo20dUknSzpKOIbBtED9UtTYtoS3DWD0lzAdsSK5fzA2fW0tLbt9QC1i7ByW22DyguVTUCpU7v3TzEGIWLy/aGRNaiVg9ep0To/cCRtn8vaf8aQvqVuCrs8asEb7afJYK3b0h6M/BkjZV5SWsAawFzl+tzh9moMAePGJD7IvCipHvL3wnbEyU1bmggaQYikJyr/Dt16lxnI8ryajG3pAOZvI+q1gPvwcRYkifL9puBr9j+ZgU5T5ZA8nLgREmPEAs2tZgLuFPS9QyeB1rr3+oHhCHHHcArHTnE36tJftTw+V4tPwM+Imlx298ti9bz2L6ptrDRRAZv7eKTRAq6My/nB8TYgFrB2+5EudI+xE358opaWkNpNv8QMRdrSSJgW8z2ApV1rUOsvj+jmC+0CvDTio3oHce5ZyXNRwwYbdxooROYSDqXKM95qGy/jbgR1eIfZXFkY+AHkqYnsqXVkLQM4dK3PfAUzZdIfxv4ne27y9/jj8CKwMuSdrB9YZN6iEz2XMS9cu6u/ROIRZummaNkkgXM1pVVFnWMFT4NfJEI1G5iIHh7mrqfrbOInrJzGHgAr8n7bH+9s2H7CUmbATWCtw8S1+YvEQuyswM1S9n3r3jufmxJzHCs2n/sdg1S7+YIYuFqfeC7RHXPL4gy06QhsmyyRZTertU7pUFlVfMG28s3rOPXrmR3PxKQ9BxwPXHjvdK2Jd1Xy6a7S9dtxIPuCkS29FhgK9vvqqTnW8SF/t3Eg5yJUrxvV9Jze3dZmWJW120VS81mAt4LjLf9lxJMLm/7goZ1LEwEa9sTK/ALA6t1DBYa1nIHsFz5TH2KWCB5N7FIclzF0q7FbN9X49w9Oto6s3BP24f37Ju+1gOwpOtqlB8PRbk2r975eyhGK9xouzGTEElvB97aazhWegD/4TKyZLQj6Y/ECJdWld22hU4JuaRbbK9c9uV80obJzFu7GAtcpxiSDbEC9KsKOqrMMxlBfJ3IThwJ/FbSKZX1dJhYHno/CBxm+1hJu9QS0+V8eXrJes1g+6laeoBLJZ1P2Iab+De8ZPiXTFVmoFjhS5qTKBlqVI+kq4mV95OBbUoQeX+NwK3wYld55HuAk2y/TDi71rxfPa0Y3ttrvrNpkyJa7OD6MeDwnn3XENn/GhwmaT/gAgaX4jVuBlT4DXBRCb4NfAI4rmENPyXuXb08W471G+0y1ZB0pe11NXjGJET2tvEe7S6eBcZJuojB7509h37JqOKlsvBpmDRftg3Z7VFFBm8twvahxeVoXeIC9nHbjfeYATNJWpkhZqhVvAFOhqT9be/f5Dlt/4SYGbQYka04C5hP0leBM23/vyb1dDFB0teAnYH1FHbZjfflSJqNWOH9S9nelnBSRdL5tRqdbX+ulJl1DIGOtl2tRxG4mbBbfoL4rM0BPFR6UHZrqIfgUWABwrV1bsKlr2Y5xguKYff/JHoS9+o6NlMdSUA8fJ9JlEvvAewCVHOgawuS5iV6fWfsuWfMRt1/r+WJ6+BGDO5b2qiGGNs/LJU17yb+RgfZPr9hGYvYvq2PthsV4wsaxfa65XvberXPLl9Jf35GDOeeW9IBwIeBVjlijgaybLLFSJoD2MP2dxs+7wTgBvoHb7Zd5QbYD0mb2z6nBTqWJwK5j9hevJKGeYkysxtsXyFpIWADNzzsVNLRwNW2f1227yF6l2YksoO7N6mnrSjcOM/sPMRJ2pQoo/wdkTltpOxL0uzEYPftgbcTQeR7bF/fxPl7tLyTyEjMTfRrHlT2bwbsbLuKpbmKs6QGHEIFXGJ7gxp62kLJ7H+M6I28sevQBODXrufkejewQjF3SYjrsO23v9ZjTaBw3F3C9thiAjar7ftr6WkTkpYE9mZy98tqz2GSliV6tUWMnLi9lpbRSgZvLaC49XyLaPo+C/gtMQx2Z6Js6AvDvHxq6JlUy5yMLEr/0hK2Lyw9VdO4YWtqSbcAq3TK33pq46/srLg2qKe3LGfSISqW56hYdvfbJ2mc7ZUqaJqHcFrbHljQ9oJNa2gjkq61vaakC4iBzw8CZ9VaqGkbkra2fXptHR1KKfvnXWnURZeO1lx7JJ0EXGz7mJ79uwKb2v5IU1p6zr8fEfy/w/aSxdzqVNvrVNKzBDG6ZRkGl0hX6WlXjHT4BWEI1HEopqHKjKE0iVhg6w4mH6ylZzSSZZPt4HjgMiIV/V7gWsKmdgVXHA7ZFiTtBlxa+nFE9AFuTcyi2qVSaWnrKH+nTwFzAosT5Uy/IEp1muRNXX1LEIsQHeZoWEsby3I6PF5KbU8u2x8BnijlrlV6CMrD7hHAEZrCfMVRxsElQ7kXUTY0G7EaXg1JazO5FX6jWfYuLpJ0KOFAB3E/O7Bij+tbgbsl3UBd+/mLgHmJcSSnuO7Ymy8CZ0rakQgEIIKm6Yhy4Fp8CFiZKCPH9oMKR+dajAX2A35ClG5/nCFaSBpiousNdJ8MSZ8l3EkfY2CmrIlgN2mIzLy1gF6nHkn/BBaq6NS1adOOd8Mh6XZimOhLknYAvkIM710Z2M/2esP+B0YJksYBawDXdWW6xrt5t9JbibK7h3v2zw/80Q0Pee+lZJe6V1SrjFIo5UH7MdDjeiXRO/AU8fm/p4auZDAlmN6j102xJpJOIBZoxjGwGu9apgqSTgduZ8CEY2dgRdtbDf2qqaqnr8OuK9ivl6B/K8IgaQbgFOBk2483raXo2RDoOOzeYfvi4X6/AT3X216jy8VwZuCaWveJrhLpSfdOSVfUes5QzP58hOi57V6IqPX+uQdYy/ajNc6fBJl5awkaPOD0YcI0ZGZo/kPapsCtMNH2S+XnDwDH234MuFDSDyvqmkT591uwX0N4g7xg+8VITkJx56uxOnMIcI6krzAw1H0VYujoIRX0ACBpC6LkbT7iZrgwcBfhINg4tv8FfH6Iwxm4tQTbLxejm9YEb0TGZJmeDHdNFre9ddf2AWUxqQq9QZpiBuYOREawaS1PAWMlHUdk148ggrhDm9ZSeI4Yu/E00Jlbuozt6yrp+Z1i3uUcpXrkE8AvK2kBeL64Kf5F0ueAfwDzVNTTcYzuzvQbqDWa6O9AlcAxGSCDt3YwO4MHnEIpIaDuh7QtvKKYgfUEUQLYbeAyYx1JUJxBtyA+R+OARyVdZvvLlSRdJunrhPPbJsBniSG1jWL7N5L+BXyHCIxMlAF/2/Yfm9bTxUHAmkSD9cplBbqKAQZMakTfi8lL31pjCFSL0q/5FSIDuVvpQ3mH7XMrSbpS0mFEiesznZ0VF2tuJ8rxHqp0/l6ek7Su7SthUrD0XE1BklYiArYPA/cTbQk1dKxNXGfWI7LrH7J9RQ0thSMZPMLhmT77GsP2j8r96mngHcR94k81tBS+SDil7kncMzZkIIBqHNuL1jp3N5I6Wf17gIsV43+6M4FtWtx6w5PBWwuwvUhtDS3n24ST2TTA2bbvgEmlMTUH585u+2lJnwTG2t5PMYy1FvsCuwLjgU8D/9vbnN4Uts8Dzqtx7mF4yfZjksZIGmP7Ekk/qKjnVKIn8Zd0NaLXoASSRxIjHpaTtAKwhe3vVJI0lljQWqts/534e9UK3jpleN0PuGagx6tp5gLulHQ9dXu6OnwGOK6UCEIstH2saRHlfbwdESw9RpQoyvaGTWspev4KPEkE/Z8CJpb9q0C1sTvqztjafkUVZyhK+oHtrwJ/6rOvBhMdA7r/TfS7Vacl/a1zl+8Pla9ac/gSsucteY1I+pTtoyuc902EffATXftmJt7D/25aTzn/eKL37jjgG7ZvULESr6Rn1V4HKrVklEIbkHQhMfj++8BbiNLJ1W2vXUnPTbZXrXHuXiRdRpTlHNXVL3m77eWGf+VU09Nx3ex2Kh3UGzyaaVNPVzeKGY90SvIqnP8V4Apg107PqKT7KjoFXspA6boZXF3jGll2SWcAlxKLNRAVGhva3rJpLUXPzbZX6dlX8z56CfA2YrHo5M5icS3a0t8qaQZgllLu371/LmBCLY+G0Upm3pLXShXXJdsTidXc7n3PDPHrTXEgcD5wZQncFiOGHNfiGEm72B4PIGl7ogQkg7fgg8DzxN9kR6Jc+cCKes4pzl1taESfyfb1nX7JwsQKOjq8KGlGyoOvpMXp+hs1haTViezo4kRG+5O2/9y0jl5qB2m9SDoY+KHtJ8v2m4Gv2P5mw1K2JjJvl0g6j8h4VXMKdDvnAO5O9G9+k/h8XURkBRtF0meIwHGxrooVAbMAVzWtp4PtDRUzUz8MHF0WJE6pWIXQlv7WnxLvlVN79m8GvBPYo3FFo5jMvCXJG4QSPJ5GBCbrAh8FPuB6dt2tQ9JbgdXL5vWuOAdKUr8htK6RJZD0R+BzxHylVSRtQ2Qv3te0lqJnE+LhchngAmAd4GO2L21Yxw1E2fblRH/rLrbf26SGfkhakzC+WJqwep8GeMb1ZhZONhu0X0alQT0zE1n27YGNiOqIM1toxjVqKSW2byZmqu3bdWhCLSfFXiQtD+wDfMT2dJU0nArsabtqf6ukO21PNg5AseJ3u+0qxl+jlQzekr4Ue+w3d1LkkqYjehi+ZHvpmtraQikj2JUw5ei2nv9ERU1LEoPe/w/Y0nbjpgGShjVssV3FZU3Shwm3y0uJFd71gL1tn1ZDT5sogf/RwNpEhvt+YCfbf62o6S2EwYyAa3vLdRrSMCgAqRmQdCPpRiLDdCqxMv9RYAnbX6+k5zaiBPmFsj0jcGMbHugkzQlsSzyAj1ozIEnDGkpUKMObiehDfqlsv4PI4jxg+4wmtfToWppwBd2G6Js8GTi96YU+SecQmdFZgZWAqv2tku4a6tlvqMAumXpk2WTLkXSu7Q80fM7tgKOAZyT9BdgfOAG4gcjqJMEJwN3Ae4jyux0J6/lGKb133aswcxIr8ddJokLvQFuHYn+DeMB8BEDS3MCFRLayMSRtZPtihf38ZNR4cLF9H7BxyViMsT2haQ3dSPoQcLHtP5TtOSRtafushqXMoRgx0Xfb9tkN65mE7XskTWP7ZcKK/upaWoDfEIO6xxLXok8wMPOtKiWLc1T5Gs3sTriU/g54kIrlpIXziMXPv0h6O3ANcCLwAUlr2N532FdPPcYCJwGb2n6wkgaI0Tpt4l9D9NWvQo4OaJzMvLUcSW9rOl3d0/EqAAAaWElEQVSuGIq9ZXk4WIW4qG5n+8wmdbwaKpfm3OKwnL/N9gqSpgXOb3p1V9LCwx23/UBTWtqMegaWK2b53Ormh5gf4HAmHdvnsGtkbiVNT/QLLcJgR7MqPYGSxtleqWffZKV5Deg4YZjDtv3RxsR0IelyYGPCqfRhwv3tYzUNXSS9t2gC+JPt82tpaRuSDrT97a7taYh5pY0thpZM9rZEVmki4cR5ercJWJNo8BDsg4A5be9RqnxuqnBdnm0oox1JC9n+W5N6es5fvdy/lGqfTFxzOgHcasRCzQ62r2la02gmM28tQNImHnquyReBpi1zX+w4ddm+WdL9bQzcACqXMHUGhz8paTniIWqRpkX0BmeS5qGrjLNpJO1j+4eSjqDPkPCmy3O6OE/S+cSqKsRDTI25c4cC2J7MhroYZNTg98BTxE25Da5hY/rsa/x+ZXvnps/5KtmZ+Bt9DvgSsCARfFfD9nmlR3B9oPES15azkKSv2f5eWSg5lYFZro1g+zHCfOcXkuYn+gHvkPRV28MtUkw1SV0/b0SUtGP7xeIa2jSXUkaBSLrI9ru7jp1FpTl4fcr9j5DUeLm/7WtLAPd5IosLMb917dr9eKORDN7awc8kfalTIgSTsgK/IgaxNs08PX1Ls3RvN92zVEoq3mr7qp796wEP2r63ST1dHF1c1b4FnE24ZH17+JdMPUo514+B+Qgb/IWJMs6m+046paM3NnzeYbG9dylVXJe4CR5daVHiorJgM2jFu5h0/Ip4EG+aBdpgxNHFjZIOBX5GPOR9noHV3lGP7QdK2S+2D6ilQzGod1/bt0t6GxGQ3AgsLulo2z+tpa1lfBw4UdLXiKHPf7T9kxpCSjXN9sAmxOJVrc/VbZJ+BPwDeDthTISkOSrp6S4jnXOYY03TinJ/ANsPFz1JZTJ4awebElmB6W2fUYwwTiNWwjevoOcYBvct9W43zU+Bfo34z5VjNf5G2P5l+fEyoMocoR4OIgweLizlnBsSN+lGcZkrZ/s4COc31x/rAEzqJzsDonRJ0o62T2xYxlGElfkmth8tWnYAvgu8v2EtHa6WtLzLmIkW8HliUeQU4sHpAtKKuuPsth+RcRMwRtJE4IhKJa6L2r69/Pxxolzyo5JmJezeR3XwVgKlDocRn/2rgMskreIGh3RLOgD4ALG4djLwNccInlrsBnyBqFbZ1PazZf8y1On38hA/99tukjE9ZZKP0b8yIRlFZM9bS5C0ADEz7AiiJOY628O69o0WNMyw4N4+pob0tNVNsTPY+FZgZduvSLre9hqV9KwFHEsM9lxI0orAp21/tmEdsxEP/vMTGdI/le29gXG2P9iknqJpZ8KCelOifHN34L213B0l3Umsft9PlE2K6OmqMig36Y+kLxGOfJ+yfX/ZtxgxcPm8prM53b2Jki4CjrF9cu+x0Ypi4PNQuMn+6FKKeB+x6AkDAUl+1gFJfydK2kWUInfu4wK+aLtGRQSSDgFWYKDcfzvgNtv71NCTtIPMvLWArtW5fYDjiYfL33T2N7k611KG69+asTEVA7TVTfFJSbMQM6lOlPQIdQct/5Rw4jwbwPatktavoOMEwv7+GuCTRNA2HfBB2+Mq6MH2CZKeB24B/gasU3pSalFlnlsvkn5q+4sasMkehBu2x+4g6TqipPWkoUwNGuKjwCbuGptg+z5JOxHZyaZL8f5P0ueBvxM9QefBpFEB0zaspXXY3rC2hi4WrS2g5XRXGPVWG/1y8l9vhq5y/3WIQPIXFVx3JyFpaduNu2ong8nMWwto0+pcG5F0EmEbfkzP/l2JcouP1FHWLhQ2788TF/gdgdmBE2sFBZKus/3ObpdASbc27YjX42o2DWGmsJAr2eFrYLSDiL7ER4FnaMEKeK/ZTdMOaypW1JLe1e+47cua1NNB0lJEWeC2wNXAWNsXVdAxXBXCkMemop55iDEpbwN+5jIEu5Rsr2q7bXbnVWibm2vSfiRNYHB2tJvngXuBbzR9HZJ0bdE1lljMqjpWZrSSwVvSeopN7pnAiwy2qJ0O+FBpoq2hq9/Q06eI4bS/b1pP25B0GlF68j9EL96ewGq2t2tYR6sGLauFox2GMrtxC4Yst4kS/G9BvKdfJLJxR9h+sqHzD/nerf2+ToZG0nkMuLm+3Nlv+8fVRCUjlnIdWo5YnG10waacf2liRMBWRA/nWNvDJSGS15kM3pLXRNNN1j3n3pC4YAHcYfviGjq69BwNLEXYPkOsrN5BuAXeZ/uLDevZCvgBMA+xUtfJ5MzWpI4uPXMRTfobM2A68YWmM4GSXiYyWxQdMwLPUvnv0yZKn+RG9Jjd2P5Uwzp6B85POkT9rOQyRPZtc+BiYqDwusBHmgqaet7Lgw4BM9ge9aWKbaRGVnSkIGlJopR9YQZnJUd1xdGrQdKnbVcZPl8c0T9ILGQ9S4xO+louXDdDBm/Ja0LSMbZ3q62jDUi6mCjbnFi230QEKJsA420v07Cee4DNsx49ea20xeymjVlJmNTz9hyRaTvV9nNdx86u1YuXjAzKQt8RbXFzLT2JC9n+cwu03ErMn+vNSlYZYSBp0Y4Z0HD7Ritdi1hbELPnjrV9vaQFgSttD3sNT14f0rAkeU1k4DaI+YGZiXIYys/z2X5ZUo1Bx/9sQ+AmabhZd7Z9UGNikldLx+zmCiqa3QwVnElaB9iBCuMCSonS6bZ/2O94Bm7Jq2Bd4GOSqru5StqcsOKfDlhU0krAgRXfxxNtH1np3P04nckHcp8GrFpBSxs5hjBw2c8D4x2w/X+S9qsna3SRwVvyqpH0DmCvDOAm8UNgnKRLiZvx+sDBxTjkwqZElHJJiMHGpwBnEQ8IwKTZZk3Sr6xrZmBX4C3EPLqkXWxBNMF/AdgJmA2oNvwZoDxU7gB8mBhh0PT7GICyGLM58XlP+qAYHLwbkxtyfKKWppbRCjfXwv7AGkTWBNvjJC1STw7nSPos0dfefd96vEkRxZRoWWD2rnsqxLVwOMfr0cbGwAu2X4FJsyent/287V9XVTaKyLLJltPt1NfgOVcgVubmIwKBI4CfA+8Eftz0LKE2I+ltxI1QwPW2H6ygYewwh13zAUoxrPcLROD2O+L988jwrxodSFoC+B4xlLbb4bGxge89jmaTdpfvjTualf6X7Yjh8o8RQ7r3ql2KI+mbwL+LnkmLE5XHBrQGSVcTWdve0rfTq4lqIbXdXIuGfi7At9XqJy3ZyF7c5HWw6PggsCWxkHV216EJwMm2r25ST1uRdA3RLjKhbM8KnG977brKRhcZvCWTUfo7jiTmYr2XmD/3W+Bbtp+vqa1NDDWzzPblTWtpG5LmBL5MjCw4DjjM9hN1VbULSVcC+xGzuTYn+ghkuxWlJzUczRSDhK8AdrV9T9l3X9MPcn10/V/XZmfMg20vVElSq1AO5B6WNrm5SjoWuAjYlzDZ2hOY1vbuTWtpI5LWsn1NbR1tpd9nPT//zTOmtoAkVr8lPT3E16OSrpX07gYlTW/717b/bPsw4BVg3wzcJmPvrq9vAecQJSmNImm3ksVBwa8kPSXpNkmNZm2LhkOAG4gVy+Vt75+BW19mLBkt2X7A9v6E42MrsP2y7VuJzHtTbA08DFwi6Zhy3eudcdQoxVVtW9sLlq+FOt9r6moZ50rarLaIFnMQMS7l/9leFHg3YbFeg88T5YEvACcBTwONOiP3ImltSTtI+mjnq6KcxyRdJOn2om2FknlPgmclTZrVWsrb89mwYTLz1nIqrX7fTZQtdR6aTiR6TwRQa1RA2yluSz+0vX3D572dcAh8SdIOwFeATYGViabi9RrW8wrxYDCRwSV5ac3fhaSrgPWIZviLgX8A37f9jqrCWkDpG92SuA5tRGRvz3QZAl1Bz7W216xx7pFAKb+dmZh991LZnZ/1QlvcXNuIpBOAxYFxDJTc2vaelfRcRizIHtVVVpqjHgqS3kkE/R1zqYWIsTLX11M1+sjgbYSgBud5SBpu2KJz/kp/SuPubbaXb/i8k0oWJP0WuK5kTHNwb4uRtDpwFzAHsTI/G3CI7WurCmsZpQR3W2KeWpVrj6SDgBudM4yS/wBJFxKLEd8D5iJKJ1ev0SdU+kr3YnJzmVqfrbuAZdySh1FJN9hevacnMMsCu5A0PbA0sSB7h+0XK0sadWTwliT/IZKOYCCzNAZYCfir7Z0a1nEz8H7gCWI1bCPbd5Rjd9leukk9yZQpGfXv2967tpZkykh6ApidyCg/x0AWec6qwlpE6evq9AFfavvcmnraRMkkP0fcJ3Yk3ksn2n6sgpa2zVU7FdjT9kM1zt+LpD8CnyPmOa4iaRuiB7dNjqFVKc6cvUZbv62naPSRowKS5D/nxq6fJwIn2a7Rx/DtomUa4OyuwO1dwH0V9CRToNjPrypJbVlxToZlrtoC2oyk7wOrEyX2AF+QtK7tfSvKagVloeb3tjcm+sePqyypFXPVJJ1DLH7OCtwp6XoGjwqoNXduD+BoYClJ/yDGlDS6INtmSv/fpsBSwPnAe4ArCVO7pCEy85Yk/wWSpgOWLJt/tv3ScL8/FXW8CZi12xikrPbK9r9raEqGR9KPgSWAUxlsP19lnlkyPJK2AxazfbCkBYC31spWtA1JtwErdc1+mga4pZb9fNuQdDaws+2nWqBlf6Jss/ZctXcNd9z2ZU1p6Ue5f47pWOIngaTxRJXRzbZXVIxLOqpisD0qycxbkvyHSNqAWEX9K1FGtaCkXWqMCrA9kSib7N7Xb1h20h7mJGaZdfeamErDqJOhkfQ/wLREWeDBwLNE6dnqNXW1jDmATgAwe00hLeR5YLykPzF4oaaGKccu5Xt3ybaBRsdxdAdnkt7KwGfpelecBVr6ubam9ARGKzvYPrCWppbxXKkcmaiY8fYwDb93kgzekuS/4cfEsMo/w6RG8JOAVauqSkYEtj9eW0Pyqlm79L/cApGlKFn3JPgecEsxuxIR5H6trqRW8YfyVZ0yqqA1SPowcAhwKfHeOULS3rZPqyTp98BTRE/gC1P43dHILZLmAH5FtGs8DaQDecNk2WTymuh2YBrtSLqttyyo374k6YekGYBdiZlL3Y3fn6gmKumLpOuAtQjHyVUkvQW4MK+FA5TyqdWJB/DrbD9cWVJ1JC1k+2+1dfQiaW0md5s8vpKWW4FNOtk2SXMTn60Vh3/lVNOTYwGGoDhqz9sxl5H0dmC2HB/VPDmkO3lN5MPKIG6UdKykDcrXMcRqXTXKQNEtJG3V+aqpJxmWE4B5iYbvy4AFiMHmSUsovaQAPwNOB+aWdADRoP+DasJahqR1gKdtn00YUOwjaeHKstrAWZ0fJJ1eU0iHMlftR8C6RLC9OrBaRUljesokH6Pus+nVkhod9zNSKOZa53Zt35OBWx0y85ZMRhm4OtQb4wXgXuAbti9qTlX7KLXxexA3QQGXAz+3XaXUQtKvgBWAOwhXM4jrbWZyWkgni93J1kqaFjg/5yi2h+45iZKWBTYmPusX2r69qrgWUQxLViSuP8cTJVVb2R7WlOKNTs+ssFZUrbRwrtohxPvmpLJrO2Je6j6V9NwJvJ1wmXyBgbEgWVEDSDoSOCaDtrpkz1syGbZnHepYcRFbjrCEHtWlBbZfKKuYJ9h+tLYeYE3by9QWkbxqOs6kT0pajmj8XqSenKQP6vxQRnDcUVFLm5lo25I+CBxu+1hJu0zxVW98PMTPNbmdyPi3Yq6a7b1Lhcg6xOftF7bPmsLLpiY5z60Pkt5UjNHWBXaTdC9hvtMJblepKnCUkcFb8pqw/TJwaxlQPSopdd/7EYM8VXa9DBxR2ZHqGknL2L6zoobk1XO0pDcD3wLOBmYpPyftYW5JXx7qoO1DmxTTYiZI+hoxD2v9ssg3bWVNbWBFSU8T94kZy88w8MA7WwVNc9GCuWo9FT7qOrSbpOepVOFj+4Gibx66epETrgdWAbasLSTJsskkec1I+hKwGfAp2/eXfYsBRwLn2f5JJV3rA+cQGZws90iS/xJJDxGfa/U7bvuAZhW1E0nzAjsAN9i+QtJCwAa1TDCSoRlqvlrtuWrddFf4NG0eImkLwkl6PmIe3sLAXbaXbVJH22hL2W8SZPCWJK+RYhe+ie1/9eyfG7ig1gVO0j3Al4HxDPS8TVpJTNpFcSzcnygXMnAFcJDtx2rqSgbo7nlL+lMetM+3vXFtLclrp5jN7GB7j9paepH0adtHNXzOW4nZmxeWnuQNge1tf6pJHW1D0t+BISsNsgqhWbJsMkleO9P2Bm4Ath8tphO1+Ftxe0tGBicTJjdbl+0dgVMIU4ykHfTNuCUDlIG9z0qa3fZTtfUkU0bSSkSm9MOEMUcrnDB7aTpwK7xk+zFJYySNsX2JpHSWhWmI0v68JraADN6S5LXz4n94bGpzt6TfEqWT3b0MZ9STlAzDnLYP6tr+jqTsJ2gX764tYITwPDBe0p8IEwMAbO9ZT1LSjaQlCSfH7Qk7/lOI6qsNqwprH09KmoWohDhR0iPAxMqa2sBDlXv6ky6ybDJJXiPFnOSZfoeAGWxXyb5JGttnd44KaCmSfgTcCPyu7NoGWNb2fvVUJclrZyhnSdvHNa0l6Y+kV4iAZFfb95R999lerK6ydiFpJmIxQoQBz2xE793jVYVVJnve2kUGb0mSJA3S5bImYGbg5XJoGuDflRzokuQ/RtIMxGwsA/fafr6ypKQHSR8iMm9rA+cRZdu/tL1oVWEtYYj5tp0SwWrul21B0pyjPYBtExm8JckbhPIAtSuwLF0Wx5l5ax9l3MSCtv9WW0uS/KdIehNwMPAJ4AFgDLAAMJZ40H1pmJcnFZA0M2H3vj1hzHEccKbtC6oKazE13S+TpB9jagtIkuR14wRi+Op7gMuIh6gJVRUlfXGsmp1ZW0eS/JccAswJLGp71VJWtTgwB/CjqsqSvth+xvaJtj9A3CPGAftWltVqbL9s+1Zg1M63TdpFZt6S5A1CpyZd0m22VyjOl+fb3qi2tmRyJP0M+LXtG2prSZL/BEl/AZZ0z4NEyVTcbXuJOsqSJEneuKTbZJK8ceiUKD0paTliWPci9eQkU2BD4NOSHiAMcHKoejLScG/gVna+LClXhpMkSaYCGbwlyRuHoyW9GfgWcDYxk+XbdSUlw/C+2gKS5L/kTkkftX18905JOwF3V9KUJEnyhibLJpMkSSoiaR4GG8ykiUkyIpA0P3AG8BxwE+HWtzowI/Ah2/+oKC9JkuQNSQZvSTLCkbST7d9I+nK/47YPbVpTMmUkbQH8GJgPeARYGLjL9rJVhSXJa0TSRoTLrYA7RqudepIkSRNk2WSSjHxmLt9nraoiea0cBKwJXFiMZjYk7LuTZERh+2Lg4to6kiRJRgOZeUuSJKmApBttrybpVmBl269Iut72GrW1JUmSJEnSTjLzliQjHEmHD3fc9p5NaUleE09KmgW4HDhR0iPAxMqakiRJkiRpMZl5S5IRjqRdhjtu+7imtCSvHkkzE0YPY4AdgdmBE20/VlVYkiRJkiStJYO3JEmSykiaC3is38ysJEmSJEmSDhm8JckIR9I5hEV3X2xv0aCcZApIWhP4PvA4YVpyAjAXkYH7qO3zKspLkiRJkqTFZPCWJCMcSe8a7rjty5rSkkwZSTcCXyfKJI8G3mf7WklLASfZXrmqwCRJkiRJWksGb0mSJA0iaZztlcrPd9leuuvYLRm8JUmSJEkyFOk2mSQjHEm/s/1hSePpUz5pe4UKspKheaXr5+d6juVqWpIkSZIkQ5KZtyQZ4Uh6m+2HJC3c77jtB5rWlAyNpJeBZwABMwLPdg4BM9ietpa2JEmSJEnaTWbekmTk8xFJVwG32M45YS3H9jS1NSRJkiRJMjLJ4C1JRj4LAIcBS0m6DbgauAq4xvbjVZUlSZIkSZIkrxtZNpkkbxAkTQesBqwNrFW+nrS9TFVhSZIkSZIkyetCZt6S5I3DjMBshAX97MCDwPiqipIkSZIkSZLXjcy8JckIR9LRwLLABOA64FrgWttPVBWWJEmSJEmSvK6MqS0gSZL/moWA6YGHgX8AfweerKooSZIkSZIked3JzFuSvAGQJCL7tnb5Wg54nDAt2a+mtiRJkiRJkuT1IYO3JHkDIWkBYB0igPsA8Bbbc9RVlSRJkiRJkrweZPCWJCMcSXsSwdo6wEuUMQHl+3jbr1SUlyRJkiRJkrxOpNtkkox8FgFOA75k+6HKWpIkSZIkSZKpRGbekiRJkiRJkiRJRgDpNpkkSZIkSZIkSTICyOAtSZIkSZIkSZJkBJDBW5IkSfKGRNKWkpbp2r5U0mo1NSVJkiTJf0MGb0mSJMkblS2BZab4W68CSWnwlSRJklQng7ckSZJkxCDpLEk3SbpD0qfKvn93Hd9G0q8lrQ1sARwiaZykxcuvbCvpekn/T9J65TUzSBorabykWyRtWPZ/TNKpks4BLmj2/zRJkiRJJidXEpMkSZKRxCdsPy5pRuAGSaf3+yXbV0s6GzjX9mkAkgDeZHsNSZsB+wEbA3uU1ywvaSngAklLlv/UWsAKth+fuv9bSZIkSTJlMnhLkiRJRhJ7SvpQ+XlBYInX+PozyvebiBmJAOsCRwDYvlvSA0AnePtTBm5JkiRJW8jgLUmSJBkRSNqAyJStZftZSZcCMwDdA0tnmMJ/5oXy/WUG7oEa5vefee1KkyRJkmTqkD1vSZIkyUhhduCJErgtBaxZ9v9T0tKSxgAf6vr9CcCsr+K/ezmwI0Apl1wI+PPrJztJkiRJXh8yeEuSJElGCucBb5J0G3AQcG3Zvy9wLnAx8FDX758M7F1MSBZnaH4OTCNpPHAK8DHbLwzz+0mSJElSBdme8m8lSZIkSZIkSZIkVcnMW5IkSZIkSZIkyQggg7ckSZIkSZIkSZIRQAZvSZIkSZIkSZIkI4AM3pIkSZIkSZIkSUYAGbwlSZIkSZIkSZKMADJ4S5IkSZIkSZIkGQFk8JYkSZIkSZIkSTICyOAtSZIkSZIkSZJkBPD/Afg06hzJMkd9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "authors_top_rated = df_books_author.sort_values('avg_rating', ascending=False)\n",
    "authors_top_rated = authors_top_rated[authors_top_rated['count']>=500].head(20)\n",
    "\n",
    "f.draw_top_chart(authors_top_rated, 'author', ['count', 'avg_rating'], 'Average rating and number of ratings of top rated authors')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison of explicit and implicit ratings\n",
    "\n",
    "Book-Crossing dataset contains both explicit (expressed on a scale from 1-10) and implicit (user interacted with the book) ratings. The analysis of relationship between those two metrics reveals that:\n",
    "* books that have many implicit ratings are also frequently rated on 1-10 scale (Pearson's correlation coefficient is 0.87 which shows the strong relationship)\n",
    "* there is no relationship between number of implicit ratings and average score from explicit rating.\n",
    "\n",
    "Implicit ratings seem to be a good indicator of book's popularity but they don't bring information about the liking of the reading."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist_book_impl = f.df_dist(df_ratings_implicit, 'isbn')\n",
    "dist_book_expl = df_ratings.groupby('isbn').agg({'book_rating': ['count','mean']}).reset_index()\n",
    "dist_book_expl.columns = ['isbn', 'count', 'avg_rating']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "ratings_comparison = dist_book_expl.merge(dist_book_impl, on='isbn', how='left', suffixes=['_expl', '_impl'])\n",
    "ratings_comparison = ratings_comparison[(ratings_comparison['count_expl']>5)&(ratings_comparison['count_impl']>5)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correlation between number of explicit and implicit ratings: 0.87\n"
     ]
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(14, 4))\n",
    "\n",
    "sns.scatterplot(x='count_expl', y='count_impl', data=ratings_comparison, color='#2f6194', ax=ax1)\n",
    "ax1.set_title('Number of explicit vs implicit ratings')\n",
    "\n",
    "sns.scatterplot(x='avg_rating', y='count_impl', data=ratings_comparison, color='#2f6194', ax=ax2)\n",
    "ax2.set_title('Average rating (explicit) vs number of implicit ratings')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print('Correlation between number of explicit and implicit ratings: %.2f' % ratings_comparison[['count_expl', 'count_impl']].corr().iloc[0][1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distribution of age of Book-Crossing users\n",
    "\n",
    "Book-Crossing dataset contains mostly users between 10-80 years old. The highest amount of users is aged between 20-30 years. The distribution of number of given ratings by age is very similar to the distribution of all users by age (although it is less smooth)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_ratings_u = df_ratings.merge(df_users, on='user_id', how='left')\n",
    "df_ratings_u['age_round'] = df_ratings_u['age'].round(-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(14, 4))\n",
    "\n",
    "sns.distplot(df_users[(df_users['age'].notna())&(df_users['age']<=100)]['age'], color='#2f6194', ax=ax1)\n",
    "ax1.set_title('Distribution of age of Book-Crossing users')\n",
    "\n",
    "sns.distplot(df_ratings_u[(df_ratings_u['age'].notna())&(df_ratings_u['age']<=100)]['age'], color='#2f6194', ax=ax2)\n",
    "ax2.set_title('Distribution of number of ratings by age')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distribution of book ratings by country\n",
    "\n",
    "The majority of book ratings come from USA (65%), Canada (10%) and United Kingdom (5%) - so ~80% of all ratings are provided by users from English-speaking countries. Other countries with noticeable share in ratings are from Western Europe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_users_country = df_ratings_u['country'].value_counts(normalize=True).reset_index()\n",
    "df_users_country.columns = ['country', 'share']\n",
    "df_users_country.loc[df_users_country['share']<0.01] = 'Other', df_users_country[df_users_country['share']<0.01]['share'].sum()\n",
    "df_users_country.drop_duplicates(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KKysrDgDy8vIsGGN4/PHH/YOCgiQJCQkttwEvXbrUY/HixXJbW1tVR8eRn59veefOHbORI0cGSKVSycaNG50AwNfXt2nhwoUlvr6+g/v16xdqZ2fX/Mwzz1QNGzaswdPTs1EqlQZNnz79TnZ2tgXHcRg9enR9230/8sgjtenp6bY9cb74gh5gRAghhBBCCDEoxlinrwcEBNRPnz7dNyoqqmLWrFkVAFBeXi6cMWOG77Vr1ywZY1xTU9M9OyksLBQ5Ojq2XL1UKpXs1KlTthkZGTJbW1tVeHi4eMSIEXUuLi7Kq1evWnz11VeFeXl55h0dp1KpZOfPn7dOT0/Pr62tFYwaNSpwzJgxNe7u7soDBw44XLp0KcvJyal5ypQpAz/99FPHBQsWlKekpBRqtx83bpxfSkpKQXx8vFtWVpb1+PHjq5YtW1YKAG5ubsqSkpIOx34Y0ZVRQgghhBBCiEG5uroqKysrha1fKy8vFzo7OysBIC0t7eLChQtvnz592iY0NDSoqakJ8fHxHmPHjq2+ePFi9r59+y41NjbeM3extrZWKRSKltc9PT0bR40aVe3u7q60s7NTTZw4sTIjI8M6PT3d9sKFC9YeHh4hY8aMCbx27ZrFyJEjA9ruz9PTs3H8+PFVffr0Ubm7uysfffTR6oyMDOt9+/b18fLyUvTv319pYWHBPf300xXHjx+/6yrntm3bHIYOHVpbXV0tyMnJsfrxxx+vfPPNN07a94nW19czS0vLDq/KPoxoMkoIIYQQQshDpq+NubLrtXpuf/b29qp+/fo17d271w4A5HK58JdffrEfN25cTXNzMy5fvmw+bdq06k8//fRGdXW1sLKyUlhVVSX09PRsBIDPP//cub39hoSEKIqKilquNk6fPr1KJpNZVVdXC5qamnDs2DE7qVTaEB8ff/vWrVvni4qKsn799ddcHx8fxcmTJ/Pa7i8mJqbi999/t21qakJ1dbXg7NmztiEhIfU+Pj6NZ86csa2urhaoVCr8/PPPdhKJpEG7nUKhYBs3buy3evVqeU1NTcsci+M4KBQKBgB5eXmWUqn0ntt3H2b3fZuud1yqM4BXAUQBGATAAsB1AIcB/LsgJTb3fscwFmoxTXxp4UsHQC2mii8tfOkAgPCktE5b0ldEUEsvSDgo67QlMVLyQLQUV9R22uHuYPNAdADAuehJnbYM2X34gWnZ5SrttCVGnm0SLb3xmaCbN2++umDBAq/4+PgBABAfH39TKpUqFAoFi42N9a2urhZyHMfmz58vd3Z2bo6Pjy956aWXfJOTk93Cw8Or2ttnnz59VF5eXooLFy5YBAcHK1xcXJoXLVokHzp0qIQxhvHjx1fOnDmzsrPjWr9+vQsArFy58vawYcMaJkyYUBkYGCgVCAR4/vnnb48YMaIBAKZNm3Zn8ODBEjMzM0il0rqlS5fe1u5j3bp1LrNmzSqzs7NTPfroo/UAIBaLg8aPH1/p7OzcDAC//vqr3bp164raO4aHFeM4ruu1OuAdlzoLwL8AdPRUKCWAJAAJBSmxJn1JmlpME19a+NIBUIup4ksLXzoAIDwprdst6SsiqMVIEg7Kut2SGCkx2Zbiitpud7g72JhsBwCci57U7ZYhuw+bdMsuV2m3W2Lk2UZtyczMvBYaGlpqzDGNZcuWLQ4ZGRnWycnJN3v7WDpSWFho9uc//3ng77//nt/bx2JsmZmZzqGhoT7tLdP7Nl3vuNQFALah4z82QH3l9W8ANus7jjFQi2niSwtfOgBqMVV8aeFLBwCEJ6VRiwlKOCjjRUtxRS0vOgDgXPQk3rTscpXypuVBM2fOnAofH5/G3j6Ozly5csV8w4YNhV2v+XDR68qod1zqMAAnoNttvq8WpMT+W+fBDIxaqMWQ+NIBUAuoxaD40gEA4UlperWkr4igFgNKOCjTqyUxUmJSLcUVtXp1uDvYmFQHAJyLnqRXy5Ddh02uZZerVK+WGHm20Vr4fGWUmDZDXBldC93fb7rGOy7VSs/xDIlaqMWQ+NIBUAu1GBZfOgA9W8KT0qjFsPRqSTgoM7UWvTqKK2pNrQPQs+Vc9CTetOxylZpiCyFGo/NkVPNgiYl6jOWi53YGQy0AqMVg+NIBUIsGtRgIXzqAlof8UIuJtWgeWPTAt2geWPTAdwAtDyziRYvmgUW8aCHE2PS5MjpMz+0AYKSe2xkKtahRi2HwpQOgFi1qMQy+dADUokUthsGXDoBatEythRCj0uejXZzuY7x2Px+oF1GLGrUYBl86AGrRohbD4EsHQC1a1GIYfOkAqEWr11qmfJIeWtWgvO+PedTqY2mmPPDXcKN/XAx5sOnzrzjl9zGeqb1pmlrUqMUw+NIBUIsWtRgGXzoAatGiFsPgSwdALVq91tKTE9Hu7u/69etmU6dOHThgwIDgQYMGSceOHet3/vx5i548jrasra2H6rK+SqXCqFGjxOXl5QIAeO+99/r5+/tL/fz8pGvWrOnX3jb79++3s7OzGxIYGBgUGBgYtHz5cnftstLSUuHkyZMH+vr6SgcOHCg9evSoDQC8+uqrHmKxOGj69Ok+2nX/9a9/Ob733nstY5w8edIqOjraBzymzy/hWQAq6DeRPa3HNoZELWrUYhh86QCoRYtaDIMvHQC1aFGLYfClA6AWLVNrMRiVSoWoqCi/2NjYsv37918BgOPHj1vdvHlTNHjwYEVvH5/Wzp077aVSab2jo6Pq1KlTllu2bHE5c+aMzNLSUjV27Fjx9OnTK0NCQu453kceeaQmLS3tUtvX582bN+DJJ5+sOnTo0JWGhgZWU1MjKCsrE548edI2Pz8/JyoqyvfkyZNWQUFBDdu2bXP+5ZdfLmq3HTlyZH1xcbH5xYsXzf39/U36o2v0pfMfTUFK7C0A/6fHWGUADuuxncFQCwBqMRi+dADUokEtBsKXDgBIXxFBLSbYkhgp4UWLu4MNLzoAYMjuw7xpiZFn86bFkPbv329nZmbGrVy58rb2tbCwsPrJkyfXVFZWCh577DFxUFCQRCwWB23bts0BAPLy8swHDhwonTlzprefn5909OjR/jU1NQwANmzY4BwcHCwJCAgImjRp0qDq6moBAOTm5poPGTIkMDg4WLJ48eL+2rE6GqOt7du3O06fPr0CALKysqyGDRtWY2dnpxKJRBg9enT1t99+2+527SkvLxecOHHCbsmSJaUAYGlpyTk7OzcLBAKuqamJqVQqNDQ0CEQiEbd69Wq3hQsX3rKwsLjrczcjIyMrNm/e3Lf7Z/rBou+brRMANOu4zbsFKbF1eo5nSNRCLYbElw6AWqjFsPjSAejZkr4igloMS6+WxEiJqbXo1eHuYGNqHYCeLUN2H+ZNS4w82xRbDOL8+fNWoaGh7fZaW1urDhw4cCknJ0f23//+N3/VqlWeKpUKAHD9+nXL11577dalS5ey7e3tm7ds2dIXAGbNmnXnwoULsry8vJyAgID65ORkZwBYsGCB10svvXT7woULMjc3t6bujNHa6dOnbUePHl0LAEOGDKk/ceKEXUlJibC6ulrw008/2RcWFpq313D27FnbgICAoDFjxvhnZGRYAkBubq6Fo6Oj8tlnn/WRSCRBM2bM8K6qqhL07dtXFRUVdScoKCjI29tb4ejo2HzmzBmb2bNnV7Td76OPPlp7/PhxO13P94NCr8loQUrsSQDLdNjkWwAb9RnL0KiFWgyJLx0AtYBaDIovHQCQviKCWkxQYqSEFy3uDja86ACAIbsP86YlRp7Nm5beoFKp2JIlSzzFYnFQRESE+NatW+Y3btwwAwAPDw9FWFhYPQAMHTq07tq1axYAcPr0aavhw4cHiMXioN27dztlZ2dbAsCZM2dsX3755XIAmD9/fll3xmitsrLSrG/fvioAGDZsWMPixYtLxo0bJ46IiPAPCgqqMzO7912OYWFhtQUFBefz8vJyFi5ceCs6OtoPAJRKJZPJZNYLFy68LZPJcqytrVVvvfWWGwAkJibKc3Nzc7744osbK1eu7P/ee+8VffTRR85/+tOfBq5cubLlPafu7u5KuVwu6rGTbWL0vTKKgpTYjwG8CKCmk9VUADYAmFWQEst1sl6vohbTxJcWvnQA1GKUA9MDX1r40gEA6SsidGpJXxFBLUaQGCnRqSUxUmKSLe4ONjp1uDvYmGQHAAzZfVinliG7D5tsS4w8W6eWGHm2ybYYQkhISH1mZqZ1e8s+//xzx7KyMrOsrCxZbm5ujpOTU1N9fb0AAMzNzVvOk1Ao5JRKJQOAefPm+W7cuPF6fn5+Tnx8/E2FQtEyrxEIBPec287GaE0oFHLNzf+7yP3666+X5uTkyDIyMvIcHR2b/f39G9pu4+joqLK3t1cBwIwZMyqVSiUrLi428/HxaXR1dW0cN25crWbZnbbn4NixY1aa86NITU11+vHHH6/k5ORYZWVlWQBAfX29wNLS8t5LuDyh92QUAApSYjcBGATgXQBnAFQCqAeQD+BfAAYXpMQuL0iJ1fW2BaOjFtPElxa+dADUYqr40sKXDgBIXxGxCV20pK+IWJ6+IoJajCgxUrIJXbQkRkqWJ0ZKTLrF3cFmE7rocHewWe7uYGPSHQAwZPfhTeiiZcjuw8uH7D5s8i0x8uxN6KIlRp69PEae3estfSzNlMbc37Rp06obGxvZhg0bWj7O5r///a/1gQMHbCsrK4XOzs5NFhYW3L59++xu3rzZ7q2wrdXV1Qm8vLyaFAoF27Fjh6P29WHDhtV88cUXjgDwxRdftHzsTnfH8PX1bZDJZC1P+C0qKjIDgIsXL5ofOHDAYe7cufc8Pfn69etm2lt+09LSrFUqFVxdXZVeXl5KNze3xszMTAsAOHLkSJ+AgIC7JrMJCQke69atu9nY2MhUKhUDAMYYV1NTIwCAnJwci4CAgPquzseDinHcQ/WPMoQQQgghhDx0MjMzr4WGhvbqx+Jcu3ZNtGDBggFZWVnWFhYWnKenp+KTTz4pdHZ2bo6MjPRTKpVMKpXWnTp1yvbgwYMXAWDq1Kn+Fy9ezAaAt99+27Wmpkb40Ucf3Vy3bp1LcnKym4eHR6NEIqmrqakR7t69+1pubq75zJkzByqVShYVFXXnn//8p3tdXd3Z4uJis/bGCAgIuOsptStWrHB3d3dvWrp0aSkADB8+PKCiosLMzMyMW79+feFTTz1VDQDr1693AYCVK1feXrt2rUtKSko/oVDIWVpaqj788MPCiRMn1gLqJwbPmzfPp7GxkXl5eSm++eabay4uLs0AsHXrVodz585ZbdiwoRgA5s2b5/nLL7/0CQwMrP/hhx+uAsCcOXO8Jk+eXBkbG1tpnJ9Sz8vMzHQODQ31aW+ZXpNR77hUBvWH9FoBKOzsVinvuFTtU6zkpvgv2dRCLYbElw6AWkAtBsWXDgAIT0q7q6Wz21bDk9JaWkzxqiKfWhIOyu5q6ewW3ISDspYWU7tCWlxRe1dHZ7fgFlfUtnSY4hXSc9GT7mrp7Bbcc9GTWlpM8QrpLlfpXS2d3YK7y1Xa0mLMK6SmMBl9EBQUFIiee+45n+PHj1/sem3Dqq+vZ6NGjQrIyMjIFYke3LeN9thk1DsuNRrAXAARACw1L98AsBNABoCbAJoAuAOQAJgBIFizXjOAkwBSAfynICW2Vz8rh1qoxZD40gFQC6jFoPjSAQDhSWk91pK+IoJaekjCQVmPtSRGSnqtpbiitsc63B1sevVnci56Uo+1DNl9uFdbdrlKe6wlRp5t0BaajHbfl19+2feZZ56pdHR07NX3amZlZVkUFBSYT506tbo3j+N+3fdk1Dsu1QXqP6oneuiYLgGILkiJPd9D++s2aukUtdwnvnQA1NIFarlPfOkAgPCkNIO0pK+IoJb7kHBQZpCWxEiJUVuKK2oN0uHuYGP0n8m56EkGaRmy+7DRW3a5Sg3SEiPPNlgLTUZJb7mvyah3XKoTgD8A+PXwcdUAGFuQEnumh/fbIWrpFmrRE186AGrpJmrRE186ACA8Kc2gLekrIqhFDwkHZQZtSYyUGKWluKLWoB3uDjZG+5mci55k0JYhuw8brWWXq9SgLTHybIO00GSU9JbOJqPdeZruFvT8HxsA2ALY4x2XamOAfXeEWrpGLc/wHy0AACAASURBVPrjSwdALd1BLfrjSwdg4JbwpDRq0Y9BWxIOynjxt1JcUcubn8m56Em8adnlKjVmCyG9qtPJqHdcagSAPxlw/AEAlhpw/y2oRSfUoiO+dADUoiNq0RFfOgAgPCmNWrrPaC0JB2W8aCmuqOVFBwCci57Em5ZdrlLetBBiCsy6WP6CEY7hBQDvGWkcY4xBLbqPY4wxDN3Clw7tOMYYg1p0H8cYY9Dfim7jGGMMatF9HGOMQX8ruo1jjDGoRQdrj+aH1jU1dzUX6DZrkVC5aoI4s6PleXl55q0/pgUAli5d2t/W1rZ5zZo18o62+/XXX61TUlKcNm3aVLh//347CwsLlfZjU7rLw8MjJCMjQ+bu7q7s6PX09HTrmTNnDtq5c+ela9eumWdnZ1utXbu2RJdx2rN//367DRs2uKalpV263321FRcXN+DZZ5+9ExkZWRMdHe3zxx9/2NnZ2TUDQEpKytWwsLC7Pp/0+PHjVgsWLPCuqakRCgQCbsWKFcUvv/zyHQD44Ycf7N544w3PpqYmQUhISO233357TSQSYdOmTQ6JiYke9vb2ygMHDlxyc3Nrzs7OtoiPj/fYv3//FQBoaGhgjz/+uPj333/P0/Wpv13dpjtGp73pZ5B3XKqHEcahFt1Qi2740gFQi66oRTd86QCM1BKelEYtujFKS8JBGS/+VoorannzMzkXPYk3LbtcpQZv6cmJqCH2pzVmzJi6TZs2FQLAzz//bJeenm7b02OcOHHCaubMmYO2bdt2efTo0fWzZs2q7ImJqCHJ5XLh6dOnbSIjI2u0ryUmJt7Izc3Nyc3NzWk7EQUAW1tb1datW69eunQp+8iRIxdXrVo1oLS0VNjc3Ix58+b57tix48rFixezvby8Gjdu3OgMAB9//LHbqVOnZLGxsWVfffWVEwC88cYb/T/44IMi7X4tLS25sWPHVn355ZeOunZ0NRnt38XynuJphDGoRXfU0n186QCoRR/U0n186QCoRR/U0n186QCoRR/GaDEpI0eODHj11Vc9QkJCJD4+PsGHDh2yBdRXFiMiIvzy8vLMt2zZ4vLvf//bNTAwMOjQoUO2N2/eNJs0adKg4OBgSXBwsOTIkSM2AFBSUiIcPXq0v0QiCYqNjfXu7IGtmZmZltHR0X4pKSlXIyIi6gAgOTnZac6cOV4AEB0d7fOXv/xlwNChQwM9PT1Dvv76674A0NzcjNmzZ3v5+flJIyIi/MaOHeunXbZr164+vr6+0uHDhwfs2rXLQTuWXC4XTpgwYZBYLA4KDQ0NPHHihBWgvkL8zDPP+IwePdrfw8MjZPPmzQ6vvPKKp1gsDgoPD/dXKBSs7XFv3bq17/jx46t0OceDBw9WhISEKADAx8enydHRUVlcXGwml8vNzM3NVYMHD1YAwOTJk6v27NnjAAACgYBraGgQ1NXVCUQiEXfo0CFbV1fXJu1+tGJiYip27NjR45NRC113qCfLrle5b9SiO2rpPr50ANSiD2rpPr50ANSiD2rpPr50ANSiD2O0mBylUsmysrJk69atK1yzZs1dE/+AgIDGOXPm3H7llVfkubm5OZMnT66ZP3/+gKVLl8ovXLgg+/777y+/8sorPoD6yt1jjz1WI5PJcqKioiqKi4vNOxpzxowZfhs2bLg+adKkmo7WkcvlooyMjNy9e/defOeddzwAYMuWLX0LCwvN8/Lysjdv3nzt7NmztgBQV1fHFi1a5PPDDz9cOnXqVN6tW7da7ltduXJl/9DQ0Lr8/Pyc9957r+iFF17w1S4rKCiw+Pnnny/t2rXr0iuvvOI7bty4qvz8/BxLS0vVzp077dse0/Hjx20feeSRu25Xfvfddz3EYnHQ3LlzB9TX198zgW0tLS3NuqmpiQUFBSnc3NyUSqWS/frrr9YA8O233/bVnrOEhITiCRMm+KelpfWZO3dueWJiovsHH3xQ3HZ/I0aMqD9//rzOD9/qztN0CSGEEEIIIURvjLU/N2r9+rPPPnsHAMLCwmpv3LjR4QRS69ixY30WL17sFRgYGDRt2jS/mpoa4Z07dwR//PGHXVxcXBkAzJw5s7JPnz7NHe1j9OjRVV999ZWzUqnsaBVERUVVCIVCDB8+vKGsrEwEAOnp6bbPPPPMHaFQCC8vL+WoUaOqAeDcuXOWnp6eipCQEIVAIMCsWbPKtPs5efKk3dy5c8s0+6yuqKgwKysrEwLAhAkTKi0sLLiRI0fWNzc3s5iYmCoAkEql9VevXr3nXMjlcpGrq2vLQX/00UdFV65cuZCZmSm7c+eO8K233nLrqKegoED04osvDvziiy+uCYVCCAQCbNmy5crrr78+ICQkRGJnZ9csFAoBANOnT6/Kzs6W/fzzz5dSU1MdJk2aVHn+/HnLyZMnD5w5c6Z3dXW1AADMzMwgEom4O3fu6DS/7GrlCl12dh/uGGEMatEdtXQfXzoAatEHtXQfXzoAatEHtXQfXzoAatGHMVqMytXVVVlZWSls/Vp5ebnQ2dm5ZUJlaWnJAeqJTXNzc6dX9gCA4zhkZGTItO+TvHXr1vm+ffuqAEAg6N6c6IsvvrgOAHPmzPHuaB3tcWnHbP2/7elo4t3eNowxDgAsLCw4ABAKhTAzM+O0xy8QCKBUKu/ZoaWlpaq+vr4l0tvbu0kgEMDKyoqLi4srO336dLtXKcvLywWRkZF+b7/9dtH48eNbrqxOmDCh9vTp03lZWVmyJ554osbX17eh9XbV1dWC7du3O61cufL2qlWrPFJTU68NGzas7j//+U/LrblNTU3M2tq64xPTjq5+Sj/osjM95QHIMcI41KIbatENXzoAatEVteiGLx0AteiKWnTDlw6AWnRlrBajsre3V/Xr169p7969doD6/ZO//PKL/bhx4zq8PbYtOzu75urq6pYJ7eOPP161bt26ftrvjx8/bgUAo0aNqk5JSXECgJ07d/apqqoS3rs3NYFAgL179165dOmS5ZIlS7r9nuDw8PCaPXv29G1ubkZhYaHZiRMn7ABgyJAhDTdu3DDPzs62AIDW76McNWpU9ddff+0EqN8L27dvX6Wjo6Oqu2O2FhAQ0JCfn99y23hBQYEIAFQqFb777jsHiURyzwOMGhoa2JQpU/xmzpxZFhcXd9c/eBQVFZkBQH19PUtKSnJ75ZVXbrde/s4777gtWrToloWFBdfQ0CBgjEEgEHB1dXUCQP0+3b59+yq1k+ru6moy+hrUH+xriH8FUgD4PwBRBSmxHV8X7znU0j3Uoh++dADU0l3Uoh++dABGaklfEUEtujFKS2KkhBd/K+4ONrz5mQzZfZg3LTHybIO3WIuEPTpGd/a3efPmq2vXrnUPDAwMGjt2bEB8fPxNqVSq6Go7rejo6IoDBw44aB9g9J///KfwzJkzNmKxOGjQoEHSjRs3ugDA3//+95vHjh2zDQoKkhw+fNje3d29sbP9WllZcQcPHrx06NAhhw8++MClO8fywgsv3HF3d28Ui8XSF1980Ts0NLTWwcGh2dramvvkk08Kpk6d6jd8+PCAAQMGtIy9bt26m2fOnLEWi8VBb775psemTZuudre9raioqMr//ve/dtrvZ8yY4SsWi4MCAgKkZWVlZtr3df7666/WM2bM8AaAlJSUvqdOnbJNTU11DgwMDAoMDAzSTuDXrFnjNnDgQKlEIpFGRkZWREVFVWv3fe3aNdHZs2etZ8+eXQEAixcvlo8YMUKSmprqPHfu3HIAOHjwYJ/x48dX6trBOrvETAghhBBCCHnwZWZmXgsNDS3t7ePgk8rKSoG9vb2qpKREOGLECMmxY8dyvby8jPGPIgCA4cOHBxw+fPiSs7Nzh++JNZYnn3xyUFJS0o3Q0NB7/nEhMzPTOTQ01Ke97QzyeUCEEEIIIYQQwmcTJ070r6qqEjY1NbEVK1YUG3MiCgBJSUk3Ll++bO7s7HzPLbnG1NDQwKKioiram4h2ha6MEkIIIYQQwnN0ZZT0ls6ujNJHuxBCCCGEEEIIMTqajBJCCCGEEEIIMTqajBJCCCGEEEIIMTqajBJCCCGEEEIIMTp6mi4hhBBCCCEPmf9eLg1tUnE9NhcQCZhy7CDnzM7WKSwsNFuwYMGAs2fP2trb2ytFIhG3dOnSkjlz5hjic1sNQqVSISwsTPzjjz9ecnR0VAGAUqlESEhIkJubW2NaWtqlttvU19ezmJgY36ysLGsHBwfl//t//+9KQEBAy+ePXrx40Tw0NFS6fPnym2vWrJHfvHnTbNq0aYOqqqrM3n777aLnn3++AgDGjx8/6Kuvvrru4+PTBADz5s3znDp1amXrzwR90NCVUUIIIYQQQh4yPTkR7c7+VCoVpk2b5hceHl5z48aNrOzsbNnOnTuvFBYWmnd3DKXSqJ+c0q6dO3faS6XSeu1EFAASExNd/fz8Ovx4lY8//tjZ3t5eef369QuLFi2SL1261LP18kWLFg0YO3Zspfb7lJQUx9jY2LKTJ0/K/vGPf7gBQGpqqv2QIUPqtBNRAFi+fPmtdevWufVsoXHRZJQQQgghhBBiUPv27bMTiUTcypUrb2tfE4vFjW+++eYtQD3RnD9/vmdwcLBELBYHJSUlOQPA/v377R599FHxtGnTfAMCAqR5eXnmvr6+0hkzZnj7+/tLo6KifPfs2WM3bNiwQG9v7+C0tDRrAEhLS7MeOnRooEQiCRo6dGhgZmamBQAkJyc7Pfnkk4PCw8P9vb29g1955RVPAPjHP/7hPHfu3AHaY9uwYYPzSy+9dNekEQC2b9/uOH369JYruZcvXxYdPnzY/uWXX+7wY3P279/vEBcXVwYAL7744p3jx4/bqVTquezWrVsdfHx8FBKJpEG7vkgk4urr6wUNDQ0CxhjX1NSETz75xHX16tXy1vsVi8WNFRUVZtevX39g73alySghhBBCCCHEoLKysqwGDx5c19Hyf/7zn8729vbNFy5ckGVmZso2b97skpubaw4A58+ft0lKSiq6fPlyNgAUFhZaLlu27FZubm725cuXLbdv3+6UkZGR+/777994//333QEgNDS04eTJk7kymSznnXfeKVq5cmXLxDInJ8d6z549V2QyWfYPP/zQ99KlS6K5c+eWHzlyxF6hUDAA2LZtm/O8efPK2h7n6dOnbUePHl2r/X7hwoUD1q9ff0Mg6HhaJZfLzX19fRsBQCQSwdbWtlkul5tVVVUJNmzY4LZ+/fqbrdd/6aWXyo8ePdpn4sSJ/m+//fbNdevW9YuNjS2zs7NTtd13SEhI3c8//2zb4eAm7oGdRRNCCCGEEEIeTM8//7zXyZMnbUUiEXfhwgXZ0aNH++Tm5lr/8MMPfQGgurpamJOTY2lubs4NHjy4NjAwsOU9lh4eHoqRI0fWA4BYLK4fN25clUAgwLBhw+oSExP7A0B5eblwxowZvteuXbPUXF1k2u0ff/zxKicnp2YA8PPza7h8+bKFn59fzejRo6u//fZb+5CQkIampiamHaO1yspKs759+6oA4JtvvrF3dnZWhoeH1+3fv9+uo1aO4+55jTHGLV++vP+iRYvk9vb2d00ynZycmn/55ZdLAHD79m3h+vXr3X788cfLM2fO9K6oqBAuX75cPmHChFoAcHFxURYVFXX7VmdTQ5NRQgghhBBCiEGFhITU7927t6/2+61bt14vLi42e+SRRyQAwHEc27Bhw/Xo6Oiq1tvt37/fztra+q7Jmrm5ecvsTiAQwNLSkgMAoVCI5uZmBgDx8fEeY8eOrf7pp58u5+XlmY8bNy6gve2FQmHLRHXevHml77//vptYLG6YPXt2u7fdCoVCrrm5GUKhEL/99pvtTz/95ODh4WGvUCgEtbW1gqeeesp37969V1tv4+bm1nj16lXzQYMGNTU1NaGmpkbYr1+/5tOnT9scOHCg7zvvvONZVVUl1LSoVq1a1XIr8xtvvNF/1apVxV9++aXjsGHD6l566aWyyMhIvwkTJuQDQENDA7OysrrniumDgm7TJYQQQgghhBjUtGnTqhUKBVu3bp2L9rWampqWucjEiRMrP/vsMxftbbLnz5+3qKqq0nuuUlVVJfT09GwEgM8//9y5O9uMGzeutri42Pz77793mjt3bnl76/j6+jbIZDILAPjXv/5VJJfLzxcVFWVt2rTpyqhRo6rbTkQBYMqUKRUpKSlOAPD111/3feyxx6oFAgFOnz6dV1RUlFVUVJT18ssv31q8eHFx64loVlaWRUlJiWjKlCk1dXV1AoFAwDHGoFAoWs7L5cuXLUNDQzt8eJKpo8koIYQQQgghDxmRgPXoo2m72p9AIMC+ffsup6en23l4eISEhIRIZs+e7bN69eobAPD666+XBgYGNoSEhEj8/f2lL7/8snfrW2t1FR8fX7J69WrPYcOGBTY3N3d7u6effvrOI488UuPi4tLuRk8++WTlkSNHOrwlV2vJkiX9t2/fbg8AixcvLr1z546Zl5dX8CeffOL24Ycf3uhmg8ff//73IgCIi4sr3759u/OIESMkS5YsKQEAhULBrl27ZjFmzJjazvdkulh79zATQgghhBBC+CMzM/NaaGhoh098JWoRERF+S5YskT/11FPtfnZnQUGB6LnnnvM5fvz4RWMfW1tbtmxxOH36tPXHH398s+u1e09mZqZzaGioT3vL6MooIYQQQggh5KFWWloq9PHxCba0tFR1NBEFAG9v76a4uLjS8vLyXp9HKZVK9tZbb8m7XtN00ZVRQgghhBBCeI6ujJLeQldGCSGEEEIIIYSYFJqMEkIIIYQQQggxuvv+nFHvuFRnAK8CiAIwCIAFgOsADgP4d0FKbO79jmEs1GKa+NLClw6AWkwVX1r40gHwqyU8Ka3TlvQVEQ9MS8JBWactiZGSB6KluKK20w53B5sHogMASpOXddri/NqGB6Zll6u005YYefYD00KIod3Xe0a941JnAfgXAPsOVlECSAKQUJASa9IfxkotpokvLXzpAKjFVPGlhS8dAL9awpPSut2SviLCpFsSDsq63ZIYKTHZluKK2m53uDvYmGwHAJQmL+t2i/NrG0y6ZZertNstMfJso7bQe0ZJbzHIe0a941IXANiGjv/YAPWV178B2KzvOMZALaaJLy186QCoxVTxpYUvHQC/WsKT0njTknBQxouW4opaXnQAQGnyMt607HKVPlAtJZW1ocUVtcN76quksja0qzHj4+Pd/Pz8pGKxOCgwMDDo559/ttHn2Ldv326/atUqN122qampYSNGjAhQKpXIz883l0qlksDAwCA/Pz/p+vXrXdrbRi6XC8PCwvy9vb2Dw8LC/G/fvi0EgLKyMuG4ceP8AgICgvz8/KQff/yxEwBkZmZaSKVSSUBAQNDRo0dtAKCpqQlhYWHi6urqlnnX1KlTB2ZlZVno0843el0Z9Y5LHQbgBHS7zffVgpTYf+s8mIFRC7UYEl86AGoBtRgUXzoAfrWEJ6Xp1ZK+IsLkWhIOyvRqSYyUmFRLcUWtXh3uDjYm1QEApcnL9Gpxfm2DybXscpXq1RIjzzZaS9sro8UVtcN7egx3B5vTHS07evSozfLlywf8/vvveVZWVlxxcbGZQqFgPj4+TT19HO354IMPXDQfhXKroaGBcRwHKysrrrKyUhAUFCQ9duxYbttjeeWVVzwdHR2Va9euLVm1apXbnTt3hJ999lnRG2+84VZZWSn87LPPim7evGkmkUiC5XJ55qJFizymTJlS5efnp1i+fLnn4cOHL7///vv9+vTp0/zXv/61TLvfAwcO2G7dutVpx44dBcZo722GuDK6Frq/33SNd1yqlZ7jGRK1UIsh8aUDoBZqMSy+dADUsiY8KY03LQkHZabWoldHcUWtqXUAeraUJi/jTcsuV6kpthhEUVGRyNHRUWllZcUBgLu7u1I7+fPw8Ah59dVXPUJCQiQhISGSCxcuWABAamqq/eDBgwMlEklQWFiYuLCw0AwAkpOTnebMmeMFANHR0T5/+ctfBgwdOjTQ09Mz5Ouvv+7b3vg7d+50+vOf/1wBAJaWlpz2OOrr65lK1f4d04cOHXKYP39+GQDMnz+/7ODBg30BgDGG6upqoUqlQlVVlcDe3l4pEok4kUjE1dXVsZqaGoFIJOJKS0uFP/74o/3ChQvLWu938uTJNenp6X2amowyDzdpOk9GNQ9jmKjHWC56bmcw1AKAWgyGLx0AtWhQi4HwpQPgV4vmgUW8aNE8sOiBb9E8sOiB7wBaHljEixbNA4t40WJITz/9dNXNmzfNfXx8gmfPnu114MAB29bL+/Tp05yVlSWbP3/+rb/+9a8DAGDixIk1586dy5XJZDkxMTHla9asaffWXLlcLsrIyMjdu3fvxXfeecej7fKGhgZWWFhoERAQ0Kh97dKlSyKxWBzk6+s7+LXXXitp7wptWVmZmbe3dxMAeHt7N5WXl5sBwMqVK29dvHjR0tXVdfCwYcOk69evLxQKhVi6dOntjz/+2O3VV1/1fuutt4rfeOMN91WrVhULBHdPuYRCIby9vRv++OMPaz1OJa/oc2V0mJ7bAcBIPbczFGpRoxbD4EsHQC1a1GIYfOkAqEWLWgyDLx0AtWiZWovB2Nvbqy5cuJCzcePGAhcXF+ULL7wwKDk52Um7/IUXXigHgJdffrn87NmztgBw9epV8/DwcH+xWByUnJzslpub2+6V5KioqAqhUIjhw4c3lJWVidouLykpMbOzs1O2fs3Pz68pPz8/RyaTXUhNTXXWXnXtjj179tgHBwfXy+Xy8ydPnsxZtmyZV3l5ucDf37/x5MmTeefOncu1sbFRlZSUmA8ePLjh6aef9p0yZcrA8+fPt7xP1NnZWVlYWHjPsT5s9PnDcep6lQ4538e2hkAtatRiGHzpAKhFi1oMgy8dALVoUYth8KUDoBYtU2sxKDMzM0ydOrX6H//4x82kpKTre/bsabmltvXVQ8YYBwCLFi3yWrBgwa38/PycjRs3FigUinbnLpaWli0PwWnveTg2NjaqxsbGdrf18fFpCggIqD969Khd22VOTk7KgoICEQAUFBSIHB0dlQCwefNmp2efffaOQCBAcHCwYsCAAYrMzEzL1tvGx8d7fPDBB0Xr1693nT17dlliYuLNhISE/trlCoVCYG1tbdJPhzYGfSaj5fcxnqk9Tppa1KjFMPjSAVCLFrUYBl86AGrRohbD4EsHQC1aptZiMJmZmRatnyB79uxZK09Pz5bbZrds2eIIAF999VXfoUOH1gJAdXW10MvLqwkANm3apPek38XFpbm5uZnV1dUxALh8+bKopqaGAcDt27eFGRkZtlKptKHtdpMmTar4/PPPnQDg888/d5o8eXIFAHh4eDQeOXKkDwAUFhaaXblyxTIwMLCl5cCBA7bu7u6NISEhirq6OoFAIICZmRlXX1/fMve6evWqxdChQ+8Z82Gj6xutAeAsABX0m8h2+IStXkItatRiGHzpAKhFi1oMgy8dALVoUYth8KUDoBatXmthDEqO02su0OH+OlteVVUlfO2117yqqqqEQqGQ8/HxUWzevLnlabIKhYINHjw4UKVSsR07dlwBgDfffPPmc889N8jV1bXxkUceqb1+/breH4cyZsyYyiNHjtg+/fTT1efPn7eKj4/3ZIyB4zgsWrSoZOTIkfUAMGPGDO+FCxfeHjNmTN27775bPH369EHe3t7O/fv3b9yzZ89lAHj//feLZ82a5SMWi4M4jmOrV6++4e7urgQAlUqF999/333v3r1XAGDhwoW3Z8+e7atUKtnGjRsLAPUE1sLCgtO+H/Vhpu9HuxyB7m+4LgPgVZASW6fzgAZELdRiSHzpAKgF1GJQfOkA+NUSnpSmd0v6igiTakk4KNO7JTFSYjItxRW1ene4O9iYTAcAlCYv07vF+bUNJtWyy1Wqd0uMPNsoLW0/2sWUeHh4hGRkZMi0EzpDOHbsmFVSUpLbnj17rhpqjO569913+/Xp00f1+uuvm+TPo6cZ4qNdEgA067jNu6b2f2Q1qIVaDIkvHQC1UIth8aUDoJZ3TW0iqqFXiylNRDX06jC1iaiGXi2mNhHV0KvFWBNRAowePbr+iSeeqFIqDTbf7TYHB4fmRYsWPRQT0a7oNRktSIk9CWCZDpt8C2CjPmMZGrVQiyHxpQOgFlCLQfGlA+BXS/qKCN60JEZKeNHi7mDDiw4AcH5tA29aYuTZvGnpDUVFRVmGvCqqtWTJkjIzsx67M1lvixcvLhOJHvoH6QLQ/8ooClJiPwbwIoCaTlZTAdgAYFZBSqzu9wMbCbWYJr608KUDoBajHJge+NLClw6AXy3pKyJ0aklfEWGyLYmREp1aEiMlJtni7mCjU4e7g41JdgCA82sbdGpxfm2DybbEyLN1aomRZ5tsCyHGotd7RlvzjkvtB2ABgGkABgEwB1AI4CcAnxWkxGbf70EaC7WYJr608KUDoBZTxZcWvnQA/GoJT0rrtCV9RcQD05JwUNZpS2Kk5IFoKa6o7bTD3cHmgegAgNLkZZ22OL+24YFp2eUq7bQlRp7dKy2m/J5Rwm+dvWf0viejhBBCCCGEENNGk1HSWzqbjOp107R3XCqD+kN6rQAUdnZ7kXdcqvbDXeUFKbG6vrHb4KiFWgyJLx0AtYBaDIovHQC/WsKT0u5q6ewW3PCktJaW9BURJteScFB2V0tnt+AmHJS1tCRGSkyqpbii9q6Ozm7BLa6obelwd7AxqQ4AKE1edldLZ7fgliYva2lxfm2DybXscpXe1dLZLbi7XKUtLTHybJNrIcSYdLoy6h2XGg1gLoAIAJaal28A2AkgA8BNAE0A3AFIAMwAEKxZrxnASQCpAP5TkBLbiF5ELdRiSHzpAKgF1GJQfOkA+NUSnpTWYy3pKyJ6tSXhoKzHWhIjJb3WUlxR22Md7g42vfozKU1e1mMtzq9t6NWWXa7SHmuJkWcbtKXtSzG8RwAAIABJREFUldGm0huh4FQ99zQfJlCKnD0ze2x/hDfu+zZd77hUF6j/qJ7ooWO6BCC6ICX2fA/tr9uopVPUcp/40gFQSxeo5T7xpQPgV0t4UppBWtJXRBi9JeGgzCAtiZESo7YUV9QapMPdwcboP5PS5GUGaXF+bYPRW3a5Sg3SEiPPNljLPZPR29eH9/QYIhev012ts2XLFocXXnhh0JkzZ7KHDh3aoM84W7dudQgKCmoYPny4TtsnJyc7ZWRk2GzZsuX6+vXrXaytrVWLFi0q02XczMxMqw8//LB49erVrlu3bnUWCoWck5OTcvPmzdfEYvE9/6AQHh7uf+vWLVFzczMbOXJk9ZYtW66bmZlhypQpAy9fvmwJANXV1UI7O7vm3NzcnCNHjtgsWrTI29zcnNuxY8eV4OBgRWlpqfDpp58e+Ouvv14UCNTPnw0LCxPv3bv3souLi8lfXb+vzxn1jkt1AnAcPffHBgB+AI55x6UO68F9dolaukQt94EvHQC1dAO13Ae+dAD8aglPSjNYS3hSmlFbEg7KDNaScFBmtJbiilqDdRRX1Br1Z1KavMxgLaXJy4zasstVarCWXa5So7b0hh07djgOGzasZuvWrY767mPPnj0O58+ft2pvWVNTU7f2sXLlytu6TEQB4KOPPnJbtmzZbQAYPnx43blz52T5+fk5Tz/99J3XX3/ds71t9u7dezkvLy8nPz8/u6ysTJSSktIXAA4cOHAlNzc3Jzc3N+dPf/rTnalTp94BgA8//NBt9+7dl997772ijz/+2AUA/va3v7n/7W9/K9ZORAHgueeeK/vwww9ddDl+U9Sdj3bZAvUfSE+zBbDHOy7VxgD77gi1dI1a9MeXDoBauoNa9MeXDoBausMWwJ7wpDTetCQclPHib6W4opY3P5PS5GW8adnlKjVmi1FVVlYKMjIybL/++utr33//fV/t6/v377eLiIhoOadz5szxSk5OdgKABQsWeAwaNEgqFouD5s2b5/nTTz/ZHD161CEhIcEzMDAwKDs722LkyJEBixYt8hgxYkRAYmKia2pqqv3gwYMDJRJJUFhYmLiwsPCe25GXLl3a/+2333YFgA0bNjgHBwdLAgICgiZNmjSourr6njnS+fPnLczNzVXaz0OdNm1atZ2dnQoAHn/88Zri4mLz9podHR1VANDU1MSampoYY+yu5SqVCvv27XN84YUXygFAJBJxdXV1gtraWoFIJOKys7MtiouLzadMmXLXRwbNnDmz4rvvvnPq5qk3WZ1ORr3jUiMA/MmA4w8AsNSA+29BLTqhFh3xpQOgFh1Ri4740gHwqyU8KY03LQkHZbxoKa6o5UUHAJQmL+NNyy5XKW9aesP27dsdnnjiicrBgwcrHBwcmn/77TfrztaXy+XCH3/8se/Fixez8/Pzc9auXVs8ceLE2gkTJlQkJibeyM3NzZFKpQoAqKioEJ46dSrv3XfflU+cOLHm3LlzuTKZLCcmJqZ8zZo1bp2NM2vWrDsXLlyQ5eXl5QQEBNQnJyc7t10nLS3NdvDgwXXtbf/555+7TJgwobKj/T/++OP+Li4uoTY2Ns0vvvjindbLDh8+bOvs7NwUEhKiAIA333yzeN68ed6ffPJJv2XLlt2Kj4/3+OCDD4ra7tPFxaW5sbGRlZSUCDtrM3VdXRl9wQjHYIwxjDUOtZjmODSG6Y1DLaY5Do1heuNQi2mOQ2OY3jjU8gDYuXOn43PPPXcHAKKjo8u7ulXX0dGx2cLCQjVz5kzvzZs3O9ja2qo6Wve5554r1/731atXzcPDw/3FYnFQcnKyW25ubru39GqdPn3aavjw4QFisTho9+7dTtnZ2ZZt1ykuLha5uLgo277+6aefOmZmZlq/++67JR3t/7fffrtYUlKS2djYKNi3b1+f1su2bdvmGB0d3XLsYWFh9ZmZmbknTpzIz8/Pt3Bzc2vkOA5TpkwZ+NRTT/m2vsrr5OSkvH79ertXZB8UXU1GxxjhGAZ5x6V6GGEcatENteiGLx0AteiKWnTDlw6AWnQ1KDwpjTctCQdlvPhbKa6o5c3PpDR5GW9adrlKjdFiVCUlJcI//vijz8KFC709PDxCNm7c6PbDDz/0ValUEIlEnEr1v3mmQqFgACASiXDu3DlZdHR0xZ49exyeeOIJ/472r71lFgAWLVrktWDBglv5+fk5GzduLFAoFJ3OeebNm+e7cePG6/n5+Tnx8fE321vfyspK1dDQcNfre/bssfvwww/df/zxx0tWVladPhXW2tqamzp1asX333/voH2tqakJhw4d6jtnzpzytuurVCokJia6f/DBB8UJCQn9ExMTbz7//PNl69evd9Wuo1AomLW1dYcT9AdBV5PR/l0s7yntvuG3h1GL7qil+/jSAVCLPqil+/jSAVCLPqil+/jSAVCLPgzfwgT3XOUz5P62bt3a95lnnim7efNmVlFRUVZJScl5T0/PxiNH/n979x4XVZ34f/w9AyOCIl4YJ0EZb8NtVNZsczebdVE2oy1zC7cVrVVq29TK0mV1W7590zArvu1+MyvLllwtWovdn9kmudGyxWrRQ9uIO3hh8AaOgChyG5j5/YHD1+swc+AcDh/fz8fDx0Nmzjmf82Ie88eHc/vH4AkTJrQePHjQv7m5WVNbW+vz73//ewjQeY1pXV2dz3333dewefPmoyUlJQEAMHjw4I6zZ89ecx5z7tw5n7CwMDsAbN26tdvrKpuamrRhYWH21tZWzV/+8perHq01m80thw4d8nP9vHfvXv/HHnvM+OGHHx4MDQ29antDQ4PWarXqgK6JZ1BkZGSz6/0PP/xwyPjx41smTJhwxV2XNm3aNOL2229v0Ov1Hc3NzVofHx+nVqtFU1OTFuicrNpsNl1ERERrd31q1t2zhfy6eb+3XHEoXAZs8R5bPCdKB8AWKdjiOVE6ALZIwRbPidIBsEUK2VuUfiboBx98MOK3v/3tyYtfu/vuu+u3b98+/N13362666676qOioszjxo1rMZvNTUDndaB33nnnRNeR0tTU1KMAsHDhwrqlS5eO3bx5syEzM/PQ5WP9/ve/P7FgwYIJBoOh7aabbjpfVVXl9nNbs2bNiZtvvjkqNDS0LSoqqqmxsfGK6zDnzJnTuGbNmjEOhwNarRbJycljmpqafObPnz8BAEJCQtr++c9/HgSAyMjI6NLS0uKzZ89qf/rTn05sa2vTOBwOzYwZM84mJyfbXNt87733hs+fP/+Ko6Lnzp3TvvvuuyO++OKLCgBYtWpVTUJCwgSdTud87733DgPAv//974CpU6ee1+l03f3qVa33HnRLRERERER0FV9//XXZ5a+lpKSccv1/8+bNxwAcu3yZgoKCkstfu+22284fOnSo6FrbXrRo0ZlFixaduXy9xx9/vBZALQD84Q9/OOF6ffXq1bbVq1fbLl/+YoGBgQ6LxXJ2165dgfPmzTu3b9++8mstW1paWgwAY8aMaS8sLLxi/13++te/Vl5rrLy8vK7t33777Y3l5eXFFy/z9ttvj1i2bNmpK9fuX7o7TfeKD1Em9d0v0mNs8R5bPCdKB8AWKdjiOVE6ALZIwRbPidIBsEUKJVrIS+vWrTt5/vx5Tx6NKbtJkyY133333ef6ej96qrtf5i4F9qEMQHG3S/UcW7zDFu+I0gGwxVts8Y4oHQBbvMUW74jSAbDFW0q1kJfGjBnTvnDhwms+wkVJq1atOt3X+9AbupuMPo7OB/vK8VegVgCfAZhrTU/s3Quor44tnmGLNKJ0AGzxFFukEaUDYIunulpyk2OFaUmNjxLiuzJq6CBhPpPgx18SpiWhpkiJFqI+p3E63d6FmIiIiIiI+rn8/PzKmJgYIY6mUf+Sn58fHBMTM/Zq76ninGciIiIiIiK6vvBuukRERERE1xn7gd0xaG/rvbmA74B23bQ7FH1cDPV/PDJKRERERHS96c2JqIfb8/HxmRYZGRnt+ldWVjagV/dBAofDgR/84AfhdXV1WgCYP3/+2OHDh8eYTCZzd+t+/vnnAT4+PtPefvvtYa7Xli5dGmoymcwmk8m8ZcuWrtfnzp07Ljw8PPrRRx8Ndb2WnJw86p133hnq+vm9994LevLJJ0N6r079OBklIiIiIiLZ+fn5OUpLS4td/yIiItouft9utyu+T++//36Q2WxuHj58uAMAkpKSTu/atauiu/Xa29uxevXq0bfeemvX3XX/8pe/BOXn5wcUFxcXHThwoOTll1++oa6uTpuXl+cPAOXl5cVffvnl4NraWh+r1ao7cODAoIufh3rfffc1fPLJJ0PPnTt33czRrptQIiIiIiJSl40bN46Ij48fP2vWrIkWiyW8oaFB+8Mf/jA8Ojo6Kjw8PNp15LCsrGzA+PHjzb/4xS+MEydONM+YMcPU2NioAYDCwkK/W265JTwiIiI6Ojo6qqioyA8A/uu//sswadKkqPDw8OhrHXF89913h//sZz/rmhDGx8c36vX6bu9m/Nxzz428++6764ODg7uWLSoqGnjrrbc26nQ6DBkyxBEdHd30t7/9LUin0zlbWlq0HR0dsNvtGl9fX+fq1atDnn322eMXb1Or1eKWW245t2PHjiBpv83+h5NRIiIiIiKSXWtrq9Z1iu5PfvKTCa7Xv/nmm8Hvvffeka+++qo8ICDA8fHHHx8sLi4u+fzzz8ufeuqp0Q6HAwBQVVU18PHHHz918ODBoqCgoI5t27YNA4DExMRxjzzyyKmysrLi/fv3l4aFhdn/9re/DTl48ODA7777rqSkpKT422+/DcjKyhp8+T4dOHBg8IwZM85703HkyBHdRx99NCw5Odl28etTp05tzs7ODjp37pz25MmTvvv27Rty9OjRATfeeGPL6NGj28xmc/TPfvaz+qKiIj+n04kZM2Y0X77tm2666Xxubu4V+ykq3sCIiIiIiIhk5zpN9/LXLRbLWYPB0AEADodD88QTT4z+6quvBmu1Wpw6dWrAsWPHfAEgNDS09ZZbbmkGgKlTpzZVVlb61dfXa2tqagY88MADZwAgICDACcD5ySefDPniiy+GREdHRwNAU1OTtrS0dGB8fHzjxWM3NDT4Dhs2zOFNx7Jly8Y8//zzx3x9L51K3XPPPWfz8vICvv/970cOHz7cfuONNzb6+vo6ASA9Pf2oa7lZs2ZNTE9Pt65evfqGgoKCgNmzZ59dtWrVaQC44YYb2qurq/v8WlqlcDJKRERERER9JiAgoGsy+MYbbwyvra31LSgoKPHz83OGhoZObm5u1gLAgAEDnK7lfHx8nM3NzVqn03m1TcLpdOKJJ544mZyc7PbZqj4+Ps6Ojg74+Ph4vL/ffffdoAceeGA8ANTX1/vm5OQE+fr6Ou+///4zL7zwQvULL7xQDQB33XXXuPDw8NaL133nnXeGTp069fy5c+e0xcXF/rt37z580003RTz88MN1gYGBjubmZs3AgQO9mhz3ZzxNl4iIiIjoeuM7oNvrIvtiew0NDT7BwcF2Pz8/50cffRR44sQJt0cJhw8f7rjhhhvatm/fPhQAmpubNefOndPGx8ef3b59e3BDQ4MW6Dy19vjx41cciBs3blxLSUmJnzf7ePz48QLXv/j4+PqXXnqp6v777z/T3t6O6upqHwDIy8vzLy0tDbjnnnu6bnDU2tqq2bRp08hnnnmmprGxsWse5nQ60draqgGAsrKygWaz+YrTd0XFI6NERERERNcZtT4T9KGHHqqLj4+fOGnSpCiz2dw0bty4lu7Weeedd4786le/Mj777LMhOp3O+cEHHxy65557zhYVFQ38/ve/Hwl0Hn199913j4SGhl4yab7tttsa/vGPfwROmjSpFeg8mvnVV18F1tfX+xoMhilr1qw58eSTT55+8cUX9QDw29/+1nblHnRqa2vTzJgxIxIABg8e3PHnP//5sE6n63r/hRde0C9cuLA2MDDQMX369GYACA8Pj549e3ZDcHBwBwB88cUXgS+88MLxqw4gIM21Dm0TEREREZEY8vPzK2NiYtyesno9slqtugULFozdt29ft49zkdvRo0d9f/7zn4//8ssvy/t6X3pTfn5+cExMzNirvcfTdImIiIiI6LpkNBrtSUlJp+vq6vp8XnT48OEBL7300tHulxQHT9MlIiIiIqLr1kMPPVTf1/sAADNnzmzq631QWp//BYCIiIiIiIiuP5yMEhERERERkeI4GSUiIiIiIiLF8ZpRIiIiIqLrTO2b/xXjbGnqtbmAZmBA+4iHn3X7uJiAgICpTU1N/ykrKxuQk5Mz+JFHHqlzt3xZWdmAO++801RRUVHk6X7s3bvXf+PGjSN37Nhh/c9//jNwyZIlY4uLiwPWrFlzfN26dTVXW+fnP/+5MT8/f5DT6cT48eNbduzYURkUFOTIysoavGrVqjHl5eUBW7ZsObxkyZJ6AMjPz/dLTEwc397ernn11VetcXFx5+12O2bOnBm+Z8+eg4GBgQ4AuPPOO8dv2LDh+OTJk1s93f/rDY+MEhERERFdZ3pzIurt9ioqKvx27NgxvDfHd0lNTR31xBNPnAKAkSNHtr/88stVv/71r686CXXZvHnz0bKysuLy8vLi0aNHt73wwgsjAWD8+PFtb7/9duVdd91Ve/Hyr7zyij41NfV4ZmbmobS0tBsA4MUXXxy5YMGCWtdEFACWLl16av369Tf0fqU4OBklIiIiIiLF/P73vw/dv3//4MjIyOi1a9eOLCsrGzBt2rSI6OjoqOjo6KhPP/100OXrTJs2LWLfvn3+rp9vvPHGyLy8PP+Ll6mvr9eWlJQE/PCHP2wGgNDQ0PaZM2c26XQ6p7v9GT58uAMAHA4HmpubtRqNBgAQERHRNn369Gat9tIpk06nczY1NWkaGxu1Op3Oefr0aZ/du3cHLV++/JJJ6+23396Ym5s7xG63e/cLuo7wNF0iIiIiIlLM+vXrj7/00kuGnJycgwBw7tw5bW5ubnlAQICzoKDAb8GCBeMLCwtLLl5n8eLFp996663gW2655eh3333n19bWppk+fXrzxcv8+9//HhQREXHJa55KSEgYm5OTEzRx4sTmzZs3H3O37MqVK20LFy4c19bWpnnjjTesa9asGfXUU0+dvHzS6uPjA6PR2PLVV18FWCyW6+6xLZ7o8WTUmJQRDGApgLkAJgDwA1AFYA+Azdb0xNKejqEUtqiTKC2idABsUStRWkTpAMRqsaTluG3JTY7tNy0pWSVuW1Ljo/pFS3aFzW1HnEnfLzoAwJ63022Lbvq8ftOSaTC7bUmoKeo3LUppa2vTPPjgg8bi4mJ/rVYLq9Xqd/kyixcvrk9LSxvV2tp6bPPmzcGJiYmnL1/m+PHjuhEjRkg6DJmZmVnZ3t6OxYsXh6Wnpw9bsWJF7bWWNZlMbV9//XUZABQWFvpVV1cPmDJlSsu8efPG2e12zYYNG45PmTKlFQCCg4Pbjx49qpOyT9eDHp2ma0zKWAjgIIB1AG4CMAxAAIBIACsAFBiTMp4zJmWo/nRgtqiTKC2idABsUStRWkTpAMRqsaTldNtiSct5zpKWo/qWlKySbltSskqeS8kqUXVLdoWt247sCttz2RU2VXcAgD1vZ7ct9rydz9nzdqq+JdNg7rYl02B+LtNgVn2LktavX28YOXKkvaSkpLigoKDYbrdf8fsJDAx0WCyWsxkZGUN37do1/MEHH7zi5kcBAQGO1tZWyb9bX19fLFiwoG7nzp3DPF1n9erVoRs2bDj+4osvGhYtWlSbmpp6IiUlJcT1fmtrqzYgIMDhbhvXM8kfljEpYxmAdwAEuVnMF8DvAPxZ6jhKYIs6idIiSgfAFrUSpUWUDkCsFktajjAtKVklQrRkV9iE6AAAe95OYVoyDWZhWuQWFBTU0djY6OP6uaGhwWfUqFF2Hx8fvPbaayM6Ojquut4jjzxyevXq1WNiYmLOGwyGKxaaPHlyS2Vl5RVHVd1xOBwoLCz0c/3/ww8/HGoymVo8Wffjjz8ePGrUqLbJkye3NjU1abVaLXx9fZ3Nzc1dc6wjR474TZ061aPtXY8kTUaNSRk3AnjZi1UWGZMyHpEyltzYwhY5idIBsIUt8hKlAxCrxZKW43WLJS1HlS0pWSVet6RklaiuJbvC5nVHdoVNdR0AYM/b6XWLPW+nKlsyDWavWzIN5j5t0QwMaO+r7d18883Nvr6+zoiIiOi1a9eOfOKJJ0699957I2JiYiLLy8sH+vv7X/VIosViaRo0aFDHkiVLrjhFFwCmTp3acu7cOZ/6+notAFRVVfkaDIYpb775puGPf/zjKIPBMKWurk4LADNnzpxYWVmpczqdeOCBB8aFh4dHR0REmKurq3XPP//8CQD4/PPPAwwGw5Tdu3cPe/LJJ40TJ040u8ZyOBxYv379qA0bNpwEgOXLl9tSUlJC77333gnJycnVAHD06FFfPz8/p9Fo5B2MrkHjdLq9udRVGZMyPgEwx8vVbACM1vRESRcVy4UtbJGTKB0AW8AWWYnSAYjVYknLkdySmxyrqpaUrBLJLanxUappya6wSe6IM+lV0wEA9rydklt00+epqiXTYJbcklBTpEhLfn5+ZUxMzFUncf1FZWWl7sc//nHEoUOHCn18fK66zNq1a0cGBgY6Vq5c2eeta9euHTlkyBDHk08+2ef70pfy8/ODY2Jixl7tPa+PjF64GcNPJOyHXuJ6smELALbIRpQOgC0XsEUmonQAYrVcuGGREC0XbljU71su3LCo33cAXTcsEqLlwg2LhGhRs02bNo34wQ9+EPX0008fv9ZEFACSk5Ntfn5+qrhGc+jQoR2PPvrodT0R7Y6U03RvlLgeANwscT25sKUTW+QhSgfAFhe2yEOUDoAtLmyRhygdAFtc1NaiWo8++mhtdXX1d0lJSfXulgsICHAuX778ipsb9YUVK1bU6nS8ka47Ur44I3owXnAP1pUDWzqxRR6idABscWGLPETpANjiwhZ5iNIBsMVFbS1EipIyGe3JXxrUdpiaLZ3YIg9ROgC2uLBFHqJ0AGxxYYs8ROkA2OKithYiRUmZjP4HgNTzsA9IXE8ubOnEFnmI0gGwxYUt8hClA2CLC1vkIUoHwBYXtbUQKcrryag1PfEUgM8kjFULYI+E9WTDFgBskY0oHQBbLmCLTETpAMRqyU2OFaYlNT5KiJY4k16IDgDQTZ8nTEtCTZEwLURK85W4XgqAWQCufSurK621pic2SRxPTmxhi5xE6QDYwhZ5idIBsGVtbnKsMC2p8VFqa5HUEWfSq60DkNiimz5PmJaEmqI+aylYPD+m49xZqXOBK/gEDmmfvPWDfLfL+PhMM5lMzR0dHZqJEyc2v//++5WBgYEeH1Ves2bNDc8//3x1z/f2UmVlZQPuvPNOU0VFRdHl71mtVt3ixYuNOTk5B6urq33uvvvuCQUFBYMSEhJqt23bVnW17a1YsSIkKytrqFarxYgRI+zvvvtu5dixY+0OhwNJSUlj/vnPfwYNHDjQkZ6eXnnrrbc25efn+yUmJo5vb2/XvPrqq9a4uLjzdrsdM2fODN+zZ89B1+/ozjvvHL9hw4bjkydPbu3t30FfkXTnL2t64tcAVnmxyg4Am6SMJTe2sEVOonQAbAFbZCVKByBWS25yrDAtqfFRQrTEmfRCdACAbvo8YVoSaor6XUtvTkQ93Z6fn5+jtLS0uKKiokin0zlfeuklvSfbdjgc6OjowMaNG0f1fE+989xzzxkefPDB00DnnXrXrVt34plnnjnmbp3//u//ri4vLy8uLS0tjo+Pb3jqqadGAcAHH3wQdPjw4YGVlZWFr7/+unXZsmVhAPDKK6/oU1NTj2dmZh5KS0u7AQBefPHFkQsWLKi9eLK+dOnSU+vXr79BvlrlSb0NNazpiS8DWAKg0c1iDgAvAVhoTU90Sh1LbmxRJ1FaROkA2KLIjkkgSosoHYBYLbnJsV615CbHqrYlNT7Kq5bU+ChVtsSZ9F51xJn0quwAAN30eV616KbPU21LQk2RVy0JNUWqbVHCrbfe2njw4EE/AHjmmWcMJpPJbDKZzOvWrRsJdB6tHD9+vHnRokVhZrM5+r777hvb2tqqjYyMjJ47d+64srKyASaTyeza3tNPP21YuXJlCAB8/vnnAeHh4dHf+973In/961+Pdi1XVlY2YNq0aRHR0dFR0dHRUZ9++umg7vbz448/Hnbvvfc2AMCQIUMcc+bMaRw4cKDbo7nDhw/vev/8+fNajUYDAPjwww+HLly4sFar1WL27Nnnz54962u1WnU6nc7Z1NSkaWxs1Op0Oufp06d9du/eHbR8+fLai7d7++23N+bm5g6x2+0e/pbVr0d/EbGmJ241JmXsBrAMwF0AJgAYAOAogE8BvG5NT7zicLcasUWdRGkRpQNgi1qJ0iJKByBWS25y7FZLWo7bltzk2H7RkhoftTUlq8RtS2p8lOpb4kz6rdkVNrcdcSa96jsAQDd93lZ73k63Lbrp8/pFS0JN0dZMg9ltS0JNUb9okZPdbseePXuG3HbbbWdzc3MDMjIyRhw4cKDE6XRi2rRpUbNnzz4XHBzcUVlZOXDLli2V77zzThUABAQEDCstLS0GOieW19r+Qw89NO61116r/MlPfnJ+2bJloa7XQ0JC2nNzc8sDAgKcBQUFfgsWLBhfWFhYcq3tlJaWDggKCmr39/f3+g8Hjz32WOgHH3wwIjAwsOPzzz8vA4CTJ0/qxo4d2+ZaZtSoUW1Wq1W3cuVK28KFC8e1tbVp3njjDeuaNWtGPfXUUye12kuPG/r4+MBoNLZ89dVXARaLRY2nq3tN43Re13+UISIiIiISXn5+fmVMTEzXo2S+vXfOtN4e43t/3eP27sCua0YBYPr06efeeOONY2lpafra2lrf//3f/z0BdF5vqdfr2+fPn39m1qxZEcePHy9wrR8QEDDqFeN/AAAgAElEQVS1qanpP8CV13k+/fTThsbGRp+nnnqqZsqUKdEnTpwoAIC8vDz/RYsWja+oqCiqra31efDBB8OKi4v9tVotrFarX3Nz83+udc3op59+OmjdunUhubm5FRe/vnHjxhH79+8fdK1rRi/2u9/97oaWlhbtH//4xxM//vGPJ/7ud7+rnjNnTiMA/PCHPwx/8cUXj108sSwsLPRbs2ZN6Ouvv1712GOPjbHb7ZoNGzYcnzJlSisAzJ07d9wvfvGLusTExIbuxlaL/Pz84JiYmLFXe0/SkVFjUoYGnQ/p9Qdw1N3pRcakjJAL/62xpid2SBlPTmxhi5xE6QDYArbISpQOQKwWS1rOJS3uTsG1pOV0teQmx6quJSWr5JIWd6fgpmSVdLWkxkepqiW7wnZJh7tTcLMrbF0dcSa9qjoAwJ6385IWd6fg2vN2drXops9TXUumwXxJi7tTcDMN5q6WhJoi1bXIyXXN6MWvuTswFhAQcM3TYX19fZ0Ox/+93dLSou1ue+vXrzeMHDnS/te//vWIw+GAv7+/2wl5QECAo7W1VfJljQCwZMmSup/+9KemP/7xjydCQkLslZWVXUd0T548OSAsLOySc25Xr14d+vzzzx9/8cUXDYsWLaqdMGFCW0pKSsiuXbuOAEBra6vW3e+lv/FqMmpMyrgXwIMAYgEMvPDyMWNSxvsA9gM4AcAOYBSAKAD3AZh0YbkOY1LG1wAyALxpTU9sQx9iC1vkJEoHwBawRVaidABitVjScq7aYknL8ajFkpbT1ZKbHNunLSlZJVdtSckq8aglJaukqyU1PqrPWrIrbFftyK6wedSRXWHr6ogz6fv0M7Hn7bxqiz1vp0ct9rydXS266fP6tCXTYL5qS6bB7FFLpsHc1ZJQU9SnLX1l1qxZjUlJSWOfffbZaqfTid27dw/bunXr4ast6+vr62xtbdX4+fk5R48e3V5XV+dbXV3tExQU5NizZ0/Q7Nmzz+r1+o5BgwY5Pvvss0GzZ88+v3379uGu9RsaGnxGjx7d5uPjg02bNo3o6HD/t4DJkye3Hj9+/JqnA19LQUGBn+uOtx988MHQCRMmNAPA3Llzz7z22msjf/WrX9Xl5OQMCgwM7DAajV2T0Y8//njwqFGj2iZPntza1NSk1Wq18PX1dTY3N3dNiI8cOeI3derUFm/3Sa08Ok3XmJShB/A+gB/30rgHAdxrTU/8rpe25zG2uMWWHhKlA2BLN9jSQ6J0AGK1WNJyZGnJTY5VvCUlq0SWltT4KEVbsitssnTEmfSKfyb2vJ2ytOimz1O8JdNglqUloaZItpbLT9Pti0e7XHya7cWeeeYZw7vvvhsMAPfff7/t6aefPnW1U2eXLl0aumfPnqGTJk1q2rVr15HU1NSRb7755sjRo0e3jho1ym40Gtv+8Ic/nPjnP/856JFHHjEGBAQ4ZsyYce7LL78M/Oabb0oLCgr87r333gn+/v6OW2+99dzbb789sqmp6Zqn6QKdp9Ju2bLFOmnSpFYACA0NndzY2Ohjt9s1gYGBHbt37y6fNm1ay3333Wdcvny57Uc/+lHTnDlzJhw+fHigRqNxjh49uu1Pf/qTddy4cXaHw4Ff/vKXYf/617+G+Pv7O956663KH/3oR01A5x2Db731VtOHH354WK/Xd3zzzTcDFy1aNK69vV2zadMm62233Xb+6NGjvnfccYepoKDgmte5qpG703S7nYwakzJGAPgKwMRe3q9GADOt6Ynf9PJ2r4ktHmGLRKJ0AGzxEFskEqUDEKvFkpYja0tucqxiLSlZJbK2pMZHKdKSXWGTtSPOpFfsM7Hn7ZS1RTd9nmItmQazrC0JNUWytFw+GRVZQ0ODNigoyAEATz311A0nT57Uvf3220elbGvbtm1D9+/fH7Bx48YTvbuX3lu7du3IIUOGOJ588sl+9Tm6m4x6cg70NvT+lw0ABgPYaUzK6PaWyr2ILd1ji3SidABs8QRbpBOlA2CLJwYD2GlJyxGmJSWrRIjvSnaFTZjPxJ63U5iWTINZyRYhvf/++0GRkZHRJpPJvG/fvsHr168/KXVbDzzwwJmL74Dbl4YOHdrx6KOP9quJaHfcTkaNSRmxAO6QcfwxAFbKuP0ubPEKW7wkSgfAFi+xxUuidABitVjScoRpSckqEaIlu8ImRAcA2PN2CtOSaTAL0yKyX/3qV/WlpaXFFRUVRf/6178OhoSEtPdkeytXrlTFBHDFihW1Op2ur3ejV3V3ZPSXCuyDEmMoNQ5b1DkOx1DfOGxR5zgcQ33jsEWd43AM9Y3DFqJ+qLvJ6I8U2IcJxqSM0O4X6zG2eIct3hGlA2CLt9jiHVE6ALZ4a4IlLUeYlpSsEiG+K9kVNmE+E3veTmFaMg1mJVqI+lx3k9GQbt7vLaMVGIMt3mOL50TpANgiBVs8J0oHwBYp2OI5UToAtkihRAtRn+tuMuqnyF7833OZ5MQW77HFc6J0AGyRgi2eE6UDYIsUbPGcKB0AW6RQooWoz/Xas4WIiIiIiKh/2BU5I6at/kyvzQUGDBvaPrd0r9vnjBJdrrsjo2cU2QugXoEx2OI9tnhOlA6ALVKwxXOidABskYItnhOlA2CLFLK39OZE1NPtHTp0SDd79uwJRqNx0pgxYyYtWbJkTEtLiwYA9u3b579jx44g17IrV64Mefrppw29uY9JSUljsrKyBgOAw+HAY489Fjp27NhJ48ePN6empo682jqPPPLI6IkTJ5rHjx9vXrx48RiHw4H6+nptZGRktOvfsGHDYpKSksYAwPr160eaTCbzzJkzJ7ra9uzZM/ihhx7qOvX6xIkTvhaLxdSbbf1Vd5PRXQrsQxmAYgXGYYt32OIdUToAtniLLd4RpQNgi7fY4h1ROgC2eEupFkU5HA7Mmzdv4ty5c89YrdbCI0eOFJ4/f167YsWKUADYv39/wMcffxzU3XY81d5+6dNcampqfA4cODAoPj6+EQBeeeWVEceOHdMdOnSo8PDhw0VLliypu3wbn3766aCvv/56cGlpaVF5eXnRt99+O2j37t2Bw4YNc5SWlha7/oWEhLTNnz+/HgC2bdsWXFpaWjRlypTmv/3tb0McDgeeffbZURs2bOh61mlISEi7wWCw/+Mf/7junynb3WT0cXQ+2FeOvwK1AvgMwFxremKPnv3jIbZ4hi3SiNIBsMVTbJFGlA6ALZ7qaslNjhWmJTU+SojvSpxJL8xnops+T5iWhJoiJVoU9dFHHwX6+fk5VqxYUQsAvr6+2Lx589EdO3YE19XVaTds2BDy0UcfDYuMjIzesmXLMAAoKSnxv/nmmyNGjx49+eIjl6+99trwyZMnR0VGRkYnJiYaXRPPgICAqU888UTIlClTIj/77LPBF4+/ffv2YbNnzz7r+vmtt94a+eyzz5708fEBAISGhl7xO9doNGhtbdW0tLRompubte3t7ZqQkBD7xcsUFBT41dbW6ubMmdPoeq2trU3T1NSkHTBggPO1114bMWfOnAa9Xt9x8Xrz5s07s23bthHSf6Ni0Didzr7eByIiIiIiklF+fn5lTEzMadfPmQbztN4eI6Gm6MC13ktNTR155MgRvz/96U9HL349KioqeuvWrUfy8vIC9u/fP2jbtm1VQOdpujk5OUP27dtXdubMGZ+oqKhJNTU1+UVFRX6/+c1vRmdlZR3y8/NzLlq0KOwHP/jB+UcffbRWo9FM27Jly+GHHnroitOc77nnnrEJCQn1iYmJDQAwdOjQ7/3617+u/vjjj4cNHz68/dVXX62aPHly6+XrPfzww6Pfe++9YABYvHix7ZVXXjl+8fu/+c1vRp09e9bnzTffPAYAr7766vBNmzbdEB4e3rx161brHXfcMfFf//pXhZ+f3yWTriNHjujmzJljKi8vF+4o+OXy8/ODY2Jixl7tPd7AiIiIiIiIZOV0OqHRaK44Cnbh9auuc9ttt53x9/d3+vv7tw8fPtx+7Ngx308++SSwsLAwICYmJgoAWlpatCNHjmwHAB8fHyxevPiq19vW1NToDAZD19HPtrY2zcCBA52FhYUlf/7zn4cuXrx47IEDB8ouXqewsNCvvLx84LFjx74DgJkzZ4ZnZWUNdp3qCwD/7//9v+Fbt2494vp5+fLldcuXL68DgFWrVo1avnz5qczMzCHbt28fERoaan/zzTeP+vj4ICQkpP3UqVMDvPgVCqm703SJiIiIiIh6ZPLkyc3ffvvtJddI1tXVaaurqwdERUVdcUQSAC4+mujj44P29naN0+nUzJ8/v9Z1vWZlZWXhH/7whxMAMGDAAIev79WPtQ0cONDR3NzcNfcxGAxtiYmJ9QBw//33nykvL/e/fJ0dO3YM/f73v38+KCjIERQU5IiLi2vYu3dvV8OXX37p39HRobFYLE2Xr1tZWan75ptvBi1atOjM888/H/L3v//9sJ+fn2PXrl1DAKCpqUnj5+fn6ObXJjxORomIiIiIrjMDhg3t1etSu9ve3Llzz7W0tGg3bdo0Aui8wdCyZcvGzJ8//3RgYKBjyJAhHY2Njd3OTW6//fazf//734cdP37cF+i8MVF5eXm3RxgjIiJaysvLu54TGx8ffyYrKysQAHbv3h1oNBqvmBCHhYW17d27N9But6O1tVWzd+/ewOjo6BbX+9u3bx/+s5/97IobHwHAb3/725DU1NTjANDa2qrRaDTQarU4f/68FgAKCwsHhoeHN3e336LjabpERERERNcZpZ8JqtVqsXPnzoMPP/ywMS0tbZTD4cCsWbMaNm7ceBwA4uPjz/3P//zPqMjIyOhVq1advNZ2pk2b1pKSknJ89uzZ4Q6HAzqdzrlx48aq8PDwNnfjz507t+H111/Xr1y58jQArFu3rjohIWHca6+9ZggICHBs2bKlEgC++OKLgFdffVW/Y8cO65IlS+pzcnKGREREmDUaDWJjYxtc15wCwK5du4Z/9NFHFZePtXfvXn8AmDFjRjMALFq06HRERIR51KhRbWlpaScA4NNPPw28/fbbGy5f93rDGxgREREREQnu8hsYXY+mTZsWsWfPnoPBwcEd3S8tr5tuuikiKyvr4OV32RWRuxsY8TRdIiIiIiISXlpa2rFDhw71+U2DTpw44btixYqa62Ei2h2epktEREREJD6Hw+HQaLXa6/a0yFmzZp3v630AgJCQkPb7779fjmfVqo7D4dAAuOaNmnhklIiIiIhIfIU2my3owuSASHYOh0Njs9mCABReaxkeGSUiIiIiElx7e/tD1dXVb1VXV08CD0iRMhwACtvb2x+61gK8gREREREREREpjn8VISIiIiIiIsVxMkpERERERESK42SUiIiIiIiIFMfJKBERERERESmOk1EiIiIiIiJSHCejREREREREpDhORomIiIiIiEhxnIwSERERERGR4jgZJSIiIiIiIsVxMkpERERERESK8+3pBoxJGcEAlgKYC2ACAD8AVQD2ANhsTU8s7ekYSmGLOonSIkoHwBa1EqVFlA5ArBZLWo7bltzk2H7TkpJV4rYlNT6qX7RkV9jcdsSZ9P2iAwDstiq3LTp9WL9pyTSY3bYk1BT1mxYiuWmcTqfklY1JGQsBvAog6BqLtANIA5BiTU90SB5IAWxRJ1FaROkA2KJWorSI0gGI1WJJy/G4JTc5VtUtKVklHrekxkeptiW7wuZxR5xJr9oOALDbqjxu0enDVN2SaTB73JJQU6TqFiIlSD5N15iUsQzAO7j2lw3oPPL6OwB/ljqOEtiiTqK0iNIBsEWtRGkRpQMQq8WSliNMS0pWiRAt2RU2IToAwG6rEqYl02AWpoVIKZKOjBqTMm4EkAfvTvNdak1P3Oz1YDJjC1vkJEoHwBawRVaidABitVjSciS15CbHqq4lJatEUktqfJSqWrIrbJI64kx6VXUAgN1WJalFpw9TXUumwSypJaGmSHUtREqSemT0OXh/vek6Y1KGv8Tx5MQWtshJlA6ALWyRlygdAFvWWdJyhGlJySpRW4ukjuwKm9o6AIktdluVMC2ZBrMaW4gU4/Vk9MLNGH4iYSy9xPVkwxYAbJGNKB0AWy5gi0xE6QDEarlwwyIhWi7csKjft1y4YVG/7wC6blgkRMuFGxYJ0UKkNClHRm+UuB4A3CxxPbmwpRNb5CFKB8AWF7bIQ5QOgC0ubJGHKB0AW1zU1kKkKClfnBE9GC+4B+vKgS2d2CIPUToAtriwRR6idABscWGLPETpANjiorYWIkVJmYzW9WC80z1YVw5s6cQWeYjSAbDFhS3yEKUDYIsLW+QhSgfAFhe1tRApSspk9D8ApD4X6YDE9eTClk5skYcoHQBbXNgiD1E6ALa4sEUeonQAbHFRWwuRoryejFrTE08B+EzCWLUA9khYTzZsAcAW2YjSAbDlArbIRJQOQKyW3ORYYVpS46OEaIkz6YXoAACdPkyYloSaImFaiJQm9WLrFAAdXq6z1pqe2CRxPDmxhS1yEqUDYAtb5CVKB8CWtbnJscK0pMZHqa1FUkecSa+2DkBii04fJkxLQk2RGluIFCNpMmpNT/wawCovVtkBYJOUseTGFrbISZQOgC1gi6xE6QDEaslNjhWmJTU+SoiWOJNeiA4A0OnDhGlJqCkSpoVISVKPjMKanvgygCUAGt0s5gDwEoCF1vREp9Sx5MYWdRKlRZQOgC2K7JgEorSI0gGI1ZKbHOtVS25yrGpbUuOjvGpJjY9SZUucSe9VR5xJr8oOANDpw7xq0enDVNuSUFPkVUtCTZFqW4iUonE6e/Y9MCZljASwDMBdACYAGADgKIBPAbxuTU8s6ulOKoUt6iRKiygdAFvUSpQWUToAsVosaTluW3KTY/tNS0pWiduW1PioftGSXWFz2xFn0veLDgCw26rctuj0Yf2mJdNgdtuSUFPUb1qI5NbjySgRERERERGRt3ylrGRMytCg8yG9/gCOuju9yJiUEXLhvzXW9ERvL+yWHVvYIidROgC2gC2yEqUDEKvFkpZzSYu7U3AtaTldLbnJsaprSckquaTF3Sm4KVklXS2p8VGqasmusF3S4e4U3OwKW1dHnEmvqg4AsNuqLmlxdwqu3VbV1aLTh6muJdNgvqTF3Sm4mQZzV0tCTZHqWoiU5NWRUWNSxr0AHgQQC2DghZePAXgfwH4AJwDYAYwCEAXgPgCTLizXAeBrABkA3rSmJ7b1wv5Lxha2yEmUDoAtYIusROkAxGqxpOX0WktucmyftqRklfRaS2p8VJ+1ZFfYeq0jzqTv08/EbqvqtRadPqxPWzIN5l5rSagp6tMWor7g0WTUmJShR+eX6se9NO5BAPda0xO/66XteYwtbrGlh0TpANjSDbb0kCgdgFgtlrQcWVpyk2MVb0nJKpGlJTU+StGW7AqbLB1xJr3in4ndViVLi04fpnhLpsEsS0tCTZHiLUR9qdvJqDEpYwSArwBM7OWxGwHMtKYnftPL270mtniELRKJ0gGwxUNskUiUDkCsFktajqwtucmxirWkZJXI2pIaH6VIS3aFTdaOOJNesc/EbquStUWnD1OsJdNglrUloaZIsRaivubJo122ofe/bAAwGMBOY1LGIBm2fS1s6R5bpBOlA2CLJ9ginSgdAFs8MRjATktajjAtKVklQnxXsitswnwmdluVMC2ZBrOSLUR9yu1k1JiUEQvgDhnHHwNgpYzb78IWr7DFS6J0AGzxElu8JEoHIFaLJS1HmJaUrBIhWrIrbEJ0AIDdViVMS6bBLEwLkRp0d2T0lwrsgxJjKDUOW9Q5DsdQ3zhsUec4HEN947BFneNwDPWNwxaifqi7yeiPFNiHCcakjFAFxmGLd9jiHVE6ALZ4iy3eEaUDYIu3JljScoRpSckqEeK7kl1hE+YzsduqhGnJNJiVaCHqc91NRkO6eb+3jFZgDLZ4jy2eE6UDYIsUbPGcKB0AW6Rgi+dE6QDYIoUSLUR9rrvJqJ8ie/F/z2WSE1u8xxbPidIBsEUKtnhOlA6ALVKwxXOidABskUKJFqI+58nddImIiIiIiIh6VXeT0TOK7AVQr8AYbPEeWzwnSgfAFinY4jlROgC2SMEWz4nSAbBFCiVaiPpcd5PRXQrsQxmAYgXGYYt32OIdUToAtniLLd4RpQNgi7fY4h1ROgC2eEupFqI+191k9HF0PthXjr8CtQL4DMBca3piuwzbvxxbPMMWaUTpANjiKbZII0oHwBZPdbXkJscK05IaHyXEdyXOpBfmM9Hpw4RpSagpUqKFqM9pnE5nX+8DERERERERXWd4AyMiIiIiIiJSHCejREREREREpDhORomIiIiIiEhxnIwSERERERGR4jgZJSIiIiIiIsVxMkpERERERESK42SUiIiIiIiIFMfJKBERERERESmOk1EiIiIiIiJSHCejREREREREpDhORomIiIiIiEhxnIwSERERERGR4jgZJSIiIiIiIsVxMkpERERERESK42SUiIiIiIiIFMfJKBERERERESmOk1EiIiIiIiJSHCejREREREREpDhORomIiIiIiEhxnIwSERERERGR4nx7ugFjUkYwgKUA5gKYAMAPQBWAPQA2W9MTS3s6hlLYok6itIjSAbBFrURpEaUDEKvFkpbjtiU3OZYtCsuusLntiDPp+0UHANhtVW5bdPqwftOSaTC7bUmoKeo3LURy0zidTskrG5MyFgJ4FUDQNRZpB5AGIMWanuiQPJAC2KJOorSI0gGwRa1EaRGlAxCrxZKW43FLbnIsWxSQXWHzuCPOpFdtBwDYbVUet+j0YapuyTSYPW5JqClSdQuREiSfpmtMylgG4B1c+8sGdB55/R2AP0sdRwlsUSdRWkTpANiiVqK0iNIBiNViScthi8pkV9iE6AAAu61KmJZMg1mYFiKlSDoyakzKuBFAHrw7zXepNT1xs9eDyYwtbJGTKB0AW8AWWYnSAYjVYknLkdSSmxzLFplkV9gkdcSZ9KrqAAC7rUpSi04fprqWTINZUktCTZHqWoiUJPXI6HPw/nrTdcakDH+J48mJLWyRkygdAFvYIi9ROgC2rLOk5bBFPpI6sitsausAJLbYbVXCtGQazGpsIVKM15PRCzdj+ImEsfQS15MNWwCwRTaidABsuYAtMhGlAxCr5cJNftiiopYLNyzq9x1A1w2LhGi5cMMiIVqIlCblyOiNEtcDgJslricXtnRiizxE6QDY4sIWeYjSAbDFhS3yEKUDYIuL2lqIFCXlizOiB+MF92BdObClE1vkIUoHwBYXtshDlA6ALS5skYcoHQBbXNTWQqQoKZPRuh6Md7oH68qBLZ3YIg9ROgC2uLBFHqJ0AGxxYYs8ROkA2OKithYiRUmZjP4HgNTnIh2QuJ5c2NKJLfIQpQNgiwtb5CFKB8AWF7bIQ5QOgC0uamshUpTXk1FreuIpAJ9JGKsWwB4J68mGLQDYIhtROgC2XMAWmYjSAYjVkpscyxaVtcSZ9EJ0AIBOHyZMS0JNkTAtREqTerF1CoAOL9dZa01PbJI4npzYwhY5idIBsIUt8hKlA2DL2tzkWLbIR1JHnEmvtg5AYotOHyZMS0JNkRpbiBQjaTJqTU/8GsAqL1bZAWCTlLHkxha2yEmUDoAtYIusROkAxGrJTY5li8rEmfRCdACATh8mTEtCTZEwLURKknpkFNb0xJcBLAHQ6GYxB4CXACy0pic6pY4lN7aokygtonQAbFFkxyQQpUWUDkCsltzkWK9acpNj2SKzOJPeq444k16VHQCg04d51aLTh6m2JaGmyKuWhJoi1bYQKUXjdPbse2BMyhgJYBmAuwBMADAAwFEAnwJ43ZqeWNTTnVQKW9RJlBZROgC2qJUoLaJ0AGK1WNJy3LbkJseyRWHZFTa3HXEmfb/oAAC7rcpti04f1m9aMg1mty0JNUX9poVIbj2ejBIRERERERF5y1fKSsakDA06H9LrD+Cou9OLjEkZIRf+W2NNT/T2wm7ZsYUtchKlA2AL2CIrUToAsVosaTmXtLg7bdWSltPVkpscyxaZZFfYLulwdwpudoWtqyPOpFdVBwDYbVWXtLg7Bdduq+pq0enDVNeSaTBf0uLuFNxMg7mrJaGmSHUtREry6sioMSnjXgAPAogFMPDCy8cAvA9gP4ATAOwARgGIAnAfgEkXlusA8DWADABvWtMT23ph/yVjC1vkJEoHwBawRVaidABitVjScnqtJTc5li29ILvC1msdcSZ9n34mdltVr7Xo9GF92pJpMPdaS0JNUZ+2EPUFjyajxqQMPTq/VD/upXEPArjXmp74XS9tz2NscYstPSRKB8CWbrClh0TpAMRqsaTlyNKSmxzLFomyK2yydMSZ9Ip/JnZblSwtOn2Y4i2ZBrMsLQk1RYq3EPWlbiejxqSMEQC+AjCxl8duBDDTmp74TS9v95rY4hG2SCRKB8AWD7FFIlE6ALFaLGk5srbkJseyxUvZFTZZO+JMesU+E7utStYWnT5MsZZMg1nWloSaIsVaiPqaJ4922Ybe/7IBwGAAO41JGYNk2Pa1sKV7bJFOlA6ALZ5gi3SidABs8cRgADstaTls8Z6sHdkVNmE+E7utSpiWTINZyRaiPuV2MmpMyogFcIeM448BsFLG7Xdhi1fY4iVROgC2eIktXhKlAxCrxZKWwxbPKdKSXWETogMA7LYqYVoyDWZhWojUoLsjo79UYB+UGEOpcdiiznE4hvrGYYs6x+EY6huHLeoch2Oobxy2EPVD3U1Gf6TAPkwwJmWEKjAOW7zDFu+I0gGwxVts8Y4oHQBbvDXBkpbDFs8p0pFdYRPmM7HbqoRpyTSYlWgh6nPdTUZDunm/t4xWYAy2eI8tnhOlA2CLFGzxnCgdAFukYIvnROkA2CKFEi1Efa67yaifInvxf89lkhNbvMcWz4nSAbBFCrZ4TpQOgC1SsMVzonQAbJFCiRaiPufJ3bW7F98AAAD1SURBVHSJiIiIiIiIelV3k9EziuwFUK/AGGzxHls8J0oHwBYp2OI5UToAtkjBFs+J0gGwRQolWoj6XHeT0V0K7EMZgGIFxmGLd9jiHVE6ALZ4iy3eEaUDYIu32OIdUToAtnhLqRaiPtfdZPRxdD7YV46/ArUC+AzAXGt6YrsM278cWzzDFmlE6QDY4im2SCNKB8AWT3W15CbHssVzinTEmfTCfCY6fZgwLQk1RUq0EPU5jdPp7Ot9ICIiIiIiousMb2BEREREREREiuNklIiIiIiIiBTHySgREREREREpjpNRIiIiIiIiUhwno0RERERERKS4/w8PATZbPbTVZgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Waffle size 1296x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "waffle_data = df_users_country.set_index('country').T.to_dict('records')[0]\n",
    "\n",
    "fig = plt.figure(\n",
    "        FigureClass = Waffle,\n",
    "        figsize = (18,4),\n",
    "        rows = 5,\n",
    "        columns = 15,\n",
    "        values = waffle_data,\n",
    "        labels = [\"%s (%.2f%%)\" % (k, v*100) for k, v in waffle_data.items()],\n",
    "        legend = {\n",
    "            'loc': 'upper left',\n",
    "            'bbox_to_anchor': (1, 1)\n",
    "        },\n",
    "        colors = sns.color_palette(\"RdBu_r\", len(waffle_data)).as_hex(),\n",
    "        icons = 'user',\n",
    "        font_size = 30,\n",
    "        title = {\n",
    "            'label': 'Share of book ratings by country',\n",
    "            'loc': 'left',\n",
    "            'fontdict': {\n",
    "                'fontsize': 14\n",
    "            }\n",
    "        }\n",
    ")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Correlation explicit and implicit ratings\n",
    "* Age of user and votes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of users with more than 3 ratings: 22567\n",
      "number of ratings 368563\n",
      "\n",
      "number of top 5% most popular books: 8383\n",
      "number of ratings 138181\n"
     ]
    }
   ],
   "source": [
    "user_threshold = 3\n",
    "book_threshold = 0.05\n",
    "\n",
    "user_list = dist_user[dist_user['count']>=user_threshold]['user_id'].unique()\n",
    "df_top = df[df['user_id'].isin(user_list)]\n",
    "print('number of users with more than %d ratings: %d' % (user_threshold, len(user_list)))\n",
    "print('number of ratings', len(df_top))\n",
    "\n",
    "dist_book2 = df_dist(df_top, 'isbn', norm=True)\n",
    "book_list = dist_book2.head(int(book_threshold * len(dist_book2)))['isbn'].unique()\n",
    "df_top = df_top[df_top['isbn'].isin(book_list)]\n",
    "\n",
    "print('\\nnumber of top %d%% most popular books: %d' % (book_threshold*100, len(book_list)))\n",
    "print('number of ratings', len(df_top))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_top.to_csv('data/ratings_top.csv', encoding='utf-8', index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "master",
   "language": "python",
   "name": "master"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
